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142154020440 = 23335223958787
BaseRepresentation
bin1000010001100100001…
…0100011011001011000
3111120220221212110022000
42010121002203121120
54312112412123230
6145145450001000
713161465144165
oct2043102433130
9446827773260
10142154020440
1155318269623
1223673116160
1310535c151c3
146c4773b06c
153a6eda9b60
hex21190a3658

142154020440 has 128 divisors (see below), whose sum is σ = 474066432000. Its totient is φ = 37890163584.

The previous prime is 142154020439. The next prime is 142154020457. The reversal of 142154020440 is 44020451241.

142154020440 is a `hidden beast` number, since 1 + 4 + 215 + 4 + 0 + 2 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2388727 + ... + 2447513.

It is an arithmetic number, because the mean of its divisors is an integer number (3703644000).

Almost surely, 2142154020440 is an apocalyptic number.

142154020440 is a gapful number since it is divisible by the number (10) 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 142154020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237033216000).

142154020440 is an abundant number, since it is smaller than the sum of its proper divisors (331912411560).

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

142154020440 is a wasteful number, since it uses less digits than its factorization.

142154020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61046 (or 61036 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 142154020440 its reverse (44020451241), we get a palindrome (186174471681).

The spelling of 142154020440 in words is "one hundred forty-two billion, one hundred fifty-four million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2239 4478 6717 8956 11195 13434 17912 20151 22390 26868 33585 40302 44780 53736 58787 60453 67170 80604 89560 100755 117574 120906 134340 161208 176361 201510 235148 241812 268680 293935 302265 352722 403020 470296 483624 529083 587870 604530 705444 806040 881805 1058166 1175740 1209060 1410888 1587249 1763610 2116332 2351480 2418120 2645415 3174498 3527220 4232664 5290830 6348996 7054440 7936245 10581660 12697992 15872490 21163320 31744980 63489960 131624093 263248186 394872279 526496372 658120465 789744558 1052992744 1184616837 1316240930 1579489116 1974361395 2369233674 2632481860 3158978232 3553850511 3948722790 4738467348 5264963720 5923084185 7107701022 7897445580 9476934696 11846168370 14215402044 15794891160 17769252555 23692336740 28430804088 35538505110 47384673480 71077010220 142154020440