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145855618410 = 235477311531229
BaseRepresentation
bin1000011111010110101…
…1000001110101101010
3111221110221002010010010
42013311223001311222
54342203014242120
6151001040032350
713352303205045
oct2076553016552
9457427063103
10145855618410
115694776a9a7
12243269026b6
13109a5a78268
1470b91b5c5c
153bd9d397e0
hex21f5ac1d6a

145855618410 has 128 divisors (see below), whose sum is σ = 363008148480. Its totient is φ = 37482725376.

The previous prime is 145855618379. The next prime is 145855618411. The reversal of 145855618410 is 14816558541.

It is a super-2 number, since 2×1458556184102 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145855618410.

It is not an unprimeable number, because it can be changed into a prime (145855618411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118677676 + ... + 118678904.

It is an arithmetic number, because the mean of its divisors is an integer number (2836001160).

Almost surely, 2145855618410 is an apocalyptic number.

145855618410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145855618410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181504074240).

145855618410 is an abundant number, since it is smaller than the sum of its proper divisors (217152530070).

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

145855618410 is a wasteful number, since it uses less digits than its factorization.

145855618410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512.

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 145855618410 in words is "one hundred forty-five billion, eight hundred fifty-five million, six hundred eighteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 73 94 141 146 219 235 282 365 438 470 705 730 1095 1153 1229 1410 2190 2306 2458 3431 3459 3687 5765 6145 6862 6918 7374 10293 11530 12290 17155 17295 18435 20586 34310 34590 36870 51465 54191 57763 84169 89717 102930 108382 115526 162573 168338 173289 179434 252507 269151 270955 288815 325146 346578 420845 448585 505014 538302 541910 577630 812865 841690 866445 897170 1262535 1345755 1417037 1625730 1732890 2525070 2691510 2834074 3955943 4216699 4251111 7085185 7911886 8433398 8502222 11867829 12650097 14170370 19779715 21083495 21255555 23735658 25300194 39559430 42166990 42511110 59339145 63250485 66600739 103443701 118678290 126500970 133201478 199802217 206887402 310331103 333003695 399604434 517218505 620662206 666007390 999011085 1034437010 1551655515 1998022170 3103311030 4861853947 9723707894 14585561841 24309269735 29171123682 48618539470 72927809205 145855618410