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15055231440 = 24352324111317
BaseRepresentation
bin11100000010101110…
…01001100111010000
31102212020001222222110
432001113021213100
5221313114401230
610525525505320
71042040233014
oct160127114720
942766058873
1015055231440
116426316237
122b01b72240
13155c116692
14a2b6c0544
155d1ac44b0
hex3815c99d0

15055231440 has 160 divisors (see below), whose sum is σ = 48906798336. Its totient is φ = 3823902720.

The previous prime is 15055231427. The next prime is 15055231459. The reversal of 15055231440 is 4413255051.

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 = 15055231398 and 15055231407.

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, 1324662 + ... + 1335978.

Almost surely, 215055231440 is an apocalyptic number.

15055231440 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 15055231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24453399168).

15055231440 is an abundant number, since it is smaller than the sum of its proper divisors (33851566896).

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

15055231440 is a wasteful number, since it uses less digits than its factorization.

15055231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 15055231440 its reverse (4413255051), we get a palindrome (19468486491).

The spelling of 15055231440 in words is "fifteen billion, fifty-five million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 241 276 345 368 460 482 552 690 723 920 964 1104 1205 1380 1446 1840 1928 2410 2760 2892 3615 3856 4820 5520 5543 5784 7230 9640 11086 11317 11568 14460 16629 19280 22172 22634 27715 28920 33258 33951 44344 45268 55430 56585 57840 66516 67902 83145 88688 90536 110860 113170 133032 135804 166290 169755 181072 221720 226340 260291 266064 271608 332580 339510 443440 452680 520582 543216 665160 679020 780873 905360 1041164 1301455 1330320 1358040 1561746 2082328 2602910 2716080 2727397 3123492 3904365 4164656 5205820 5454794 6246984 7808730 8182191 10411640 10909588 12493968 13636985 15617460 16364382 20823280 21819176 27273970 31234920 32728764 40910955 43638352 54547940 62469840 62730131 65457528 81821910 109095880 125460262 130915056 163643820 188190393 218191760 250920524 313650655 327287640 376380786 501841048 627301310 654575280 752761572 940951965 1003682096 1254602620 1505523144 1881903930 2509205240 3011046288 3763807860 5018410480 7527615720 15055231440