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255124124420440 = 235113599769165331
BaseRepresentation
bin111010000000100010110110…
…110011110100100101011000
31020110022121221212220022211111
4322000202312303310211120
5231414423201322423230
62302334223232310104
7104511052431001642
oct7200426663644530
91213277855808744
10255124124420440
1174321596188150
12247449210a2334
13ac48142595b32
1447001059bb892
151e7656d52692a
hexe808b6cf4958

255124124420440 has 128 divisors (see below), whose sum is σ = 628026167232000. Its totient is φ = 92503960243200.

The previous prime is 255124124420413. The next prime is 255124124420453. The reversal of 255124124420440 is 44024421421552.

It is a super-3 number, since 3×2551241244204403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 255124124420393 and 255124124420402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543028575 + ... + 1543193905.

It is an arithmetic number, because the mean of its divisors is an integer number (4906454431500).

Almost surely, 2255124124420440 is an apocalyptic number.

255124124420440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255124124420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314013083616000).

255124124420440 is an abundant number, since it is smaller than the sum of its proper divisors (372902042811560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255124124420440 is a wasteful number, since it uses less digits than its factorization.

255124124420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175481 (or 175477 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 255124124420440 its reverse (44024421421552), we get a palindrome (299148545841992).

The spelling of 255124124420440 in words is "two hundred fifty-five trillion, one hundred twenty-four billion, one hundred twenty-four million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 359 440 718 1436 1795 2872 3590 3949 7180 7898 9769 14360 15796 19538 19745 31592 39076 39490 48845 78152 78980 97690 107459 157960 165331 195380 214918 330662 390760 429836 537295 661324 826655 859672 1074590 1322648 1653310 1818641 2149180 3306620 3507071 3637282 4298360 6613240 7014142 7274564 9093205 14028284 14549128 17535355 18186410 28056568 35070710 36372820 38577781 59353829 70141420 72745640 77155562 118707658 140282840 154311124 192888905 237415316 296769145 308622248 385777810 474830632 593538290 652892119 771555620 1187076580 1305784238 1543111240 1615118539 2374153160 2611568476 3230237078 3264460595 5223136952 6460474156 6528921190 8075592695 12920948312 13057842380 16151185390 17766303929 26115684760 32302370780 35532607858 64604741560 71065215716 88831519645 142130431432 177663039290 355326078580 579827555501 710652157160 1159655111002 2319310222004 2899137777505 4638620444008 5798275555010 6378103110511 11596551110020 12756206221022 23193102220040 25512412442044 31890515552555 51024824884088 63781031105110 127562062210220 255124124420440