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152015440440 = 233578712131327
BaseRepresentation
bin1000110110010011010…
…0111000101000111000
3112112101012212111101210
42031210310320220320
54442311423043230
6153500202243120
713661040631623
oct2154464705070
9475335774353
10152015440440
1159518831406
12255657b64a0
1311447ca1776
147501308dba
153e4a9e1eb0
hex2364d38a38

152015440440 has 128 divisors (see below), whose sum is σ = 457346626560. Its totient is φ = 40422081024.

The previous prime is 152015440397. The next prime is 152015440459. The reversal of 152015440440 is 44044510251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152015440398 and 152015440407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114555057 + ... + 114556383.

It is an arithmetic number, because the mean of its divisors is an integer number (3573020520).

Almost surely, 2152015440440 is an apocalyptic number.

152015440440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152015440440 is an abundant number, since it is smaller than the sum of its proper divisors (305331186120).

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

152015440440 is a wasteful number, since it uses less digits than its factorization.

152015440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 152015440440 its reverse (44044510251), we get a palindrome (196059950691).

The spelling of 152015440440 in words is "one hundred fifty-two billion, fifteen million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 787 1213 1327 1574 2361 2426 2654 3148 3639 3935 3981 4722 4852 5308 6065 6296 6635 7278 7870 7962 9444 9704 10616 11805 12130 13270 14556 15740 15924 18195 18888 19905 23610 24260 26540 29112 31480 31848 36390 39810 47220 48520 53080 72780 79620 94440 145560 159240 954631 1044349 1609651 1909262 2088698 2863893 3133047 3219302 3818524 4177396 4773155 4828953 5221745 5727786 6266094 6438604 7637048 8048255 8354792 9546310 9657906 10443490 11455572 12532188 12877208 14319465 15665235 16096510 19092620 19315812 20886980 22911144 24144765 25064376 28638930 31330470 32193020 38185240 38631624 41773960 48289530 57277860 62660940 64386040 96579060 114555720 125321880 193158120 1266795337 2533590674 3800386011 5067181348 6333976685 7600772022 10134362696 12667953370 15201544044 19001930055 25335906740 30403088088 38003860110 50671813480 76007720220 152015440440