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155113771344 = 24372943370207
BaseRepresentation
bin1001000001110110000…
…0000101000101010000
3112211101010221000101020
42100131200011011100
510020133111140334
6155131442235440
714130602205420
oct2203540050520
9484333830336
10155113771344
115a868753264
122608b355b80
131181cb63b6c
1477169ca480
15407ca0ae49
hex241d805150

155113771344 has 160 divisors (see below), whose sum is σ = 484765163520. Its totient is φ = 41794776576.

The previous prime is 155113771339. The next prime is 155113771481. The reversal of 155113771344 is 443177311551.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 155113771296 and 155113771305.

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, 233889 + ... + 604095.

It is an arithmetic number, because the mean of its divisors is an integer number (3029782272).

Almost surely, 2155113771344 is an apocalyptic number.

155113771344 is a gapful number since it is divisible by the number (14) 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 155113771344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242382581760).

155113771344 is an abundant number, since it is smaller than the sum of its proper divisors (329651392176).

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

155113771344 is a wasteful number, since it uses less digits than its factorization.

155113771344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370297 (or 370291 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The spelling of 155113771344 in words is "one hundred fifty-five billion, one hundred thirteen million, seven hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 43 48 56 58 84 86 87 112 116 129 168 172 174 203 232 258 301 336 344 348 406 464 516 602 609 688 696 812 903 1032 1204 1218 1247 1392 1624 1806 2064 2408 2436 2494 3248 3612 3741 4816 4872 4988 7224 7482 8729 9744 9976 14448 14964 17458 19952 26187 29928 34916 52374 59856 69832 104748 139664 209496 370207 418992 740414 1110621 1480828 2221242 2591449 2961656 4442484 5182898 5923312 7774347 8884968 10365796 10736003 15548694 15918901 17769936 20731592 21472006 31097388 31837802 32208009 41463184 42944012 47756703 62194776 63675604 64416018 75152021 85888024 95513406 111432307 124389552 127351208 128832036 150304042 171776048 191026812 222864614 225456063 254702416 257664072 300608084 334296921 382053624 445729228 450912126 461648129 515328144 601216168 668593842 764107248 891458456 901824252 923296258 1202432336 1337187684 1384944387 1782916912 1803648504 1846592516 2674375368 2769888774 3231536903 3607297008 3693185032 5348750736 5539777548 6463073806 7386370064 9694610709 11079555096 12926147612 19389221418 22159110192 25852295224 38778442836 51704590448 77556885672 155113771344