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15034065015420 = 223251161124474789
BaseRepresentation
bin1101101011000110010000…
…0110101101001001111100
31222020020112211200110110100
43122301210012231021330
53432304231120443140
651550315405041100
73111114101065263
oct332614406551174
958206484613410
1015034065015420
114876a02844890
121829851b56190
1385092481b039
1439d91cb595da
151b110d0a7530
hexdac641ad27c

15034065015420 has 144 divisors (see below), whose sum is σ = 50564647092960. Its totient is φ = 3584873894400.

The previous prime is 15034065015419. The next prime is 15034065015449. The reversal of 15034065015420 is 2451056043051.

15034065015420 is a `hidden beast` number, since 1 + 50 + 3 + 4 + 0 + 65 + 0 + 1 + 542 + 0 = 666.

15034065015420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150340650154202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62116615 + ... + 62358174.

It is an arithmetic number, because the mean of its divisors is an integer number (351143382590).

Almost surely, 215034065015420 is an apocalyptic number.

15034065015420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15034065015420 is an abundant number, since it is smaller than the sum of its proper divisors (35530582077540).

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

15034065015420 is a wasteful number, since it uses less digits than its factorization.

15034065015420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124474876 (or 124474871 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 15034065015420 in words is "fifteen trillion, thirty-four billion, sixty-five million, fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 6039 6710 8052 10065 10980 12078 13420 20130 24156 30195 40260 60390 120780 124474789 248949578 373424367 497899156 622373945 746848734 1120273101 1244747890 1369222679 1493697468 1867121835 2240546202 2489495780 2738445358 3734243670 4107668037 4481092404 5476890716 5601365505 6846113395 7468487340 7592962129 8215336074 11202731010 12323004111 13692226790 15185924258 16430672148 20538340185 22405462020 22778886387 24646008222 27384453580 30371848516 37964810645 41076680370 45557772774 49292016444 61615020555 68336659161 75929621290 82153360740 83522583419 91115545548 113894431935 123230041110 136673318322 151859242580 167045166838 227788863870 246460082220 250567750257 273346636644 334090333676 341683295805 417612917095 455577727740 501135500514 683366591610 751703250771 835225834190 1002271001028 1252838751285 1366733183220 1503406501542 1670451668380 2505677502570 3006813003084 3758516253855 5011355005140 7517032507710 15034065015420