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145401615326352 = 243711197199696771
BaseRepresentation
bin100001000011110111110011…
…101000011001110010010000
3201001211020222120110010012010
4201003313303220121302100
5123024230002010420402
61233124325133502520
742424630401014430
oct4103676350316220
9631736876403163
10145401615326352
114236952a26a760
1214383982941a40
13631940c983ab8
1427c969359a2c0
1511c236a331a6c
hex843df3a19c90

145401615326352 has 160 divisors (see below), whose sum is σ = 470683694029824. Its totient is φ = 37574944243200.

The previous prime is 145401615326329. The next prime is 145401615326371. The reversal of 145401615326352 is 253623516104541.

It is a happy number.

It is a super-2 number, since 2×1454016153263522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 99120274 + ... + 100576497.

Almost surely, 2145401615326352 is an apocalyptic number.

145401615326352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145401615326352 is an abundant number, since it is smaller than the sum of its proper divisors (325282078703472).

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

145401615326352 is a wasteful number, since it uses less digits than its factorization.

145401615326352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199696997 (or 199696991 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 145401615326352 in words is "one hundred forty-five trillion, four hundred one billion, six hundred fifteen million, three hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 197 231 264 308 336 394 462 528 591 616 788 924 1182 1232 1379 1576 1848 2167 2364 2758 3152 3696 4137 4334 4728 5516 6501 8274 8668 9456 11032 13002 15169 16548 17336 22064 26004 30338 33096 34672 45507 52008 60676 66192 91014 104016 121352 182028 242704 364056 728112 199696771 399393542 599090313 798787084 1198180626 1397877397 1597574168 2196664481 2396361252 2795754794 3195148336 4193632191 4393328962 4792722504 5591509588 6589993443 8387264382 8786657924 9585445008 11183019176 13179986886 15376651367 16774528764 17573315848 22366038352 26359973772 30753302734 33549057528 35146631696 39340263887 46129954101 52719947544 61506605468 67098115056 78680527774 92259908202 105439895088 118020791661 123013210936 157361055548 184519816404 236041583322 246026421872 275381847209 314722111096 369039632808 432742902757 472083166644 550763694418 629444222192 738079265616 826145541627 865485805514 944166333288 1101527388836 1298228708271 1652291083254 1730971611028 1888332666576 2203054777672 2596457416542 3029200319299 3304582166508 3461943222056 4406109555344 5192914833084 6058400638598 6609164333016 6923886444112 9087600957897 10385829666168 12116801277196 13218328666032 18175201915794 20771659332336 24233602554392 36350403831588 48467205108784 72700807663176 145401615326352