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13155202022040 = 2333513936980201
BaseRepresentation
bin1011111101101110111100…
…1001001011101010011000
31201120121212122111010212000
42333123233021023222120
53211013323204201130
643551225534321000
72525301112125561
oct277335711135230
951517778433760
1013155202022040
1142120a964a011
121585696659160
137456b7baac10
14336a02625168
1517c2e4cc6260
hexbf6ef24ba98

13155202022040 has 128 divisors (see below), whose sum is σ = 47223802180800. Its totient is φ = 3238203571200.

The previous prime is 13155202022009. The next prime is 13155202022047. The reversal of 13155202022040 is 4022020255131.

13155202022040 is a `hidden beast` number, since 1 + 31 + 552 + 0 + 20 + 2 + 20 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13155202021995 and 13155202022013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155202022047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468476061 + ... + 468504140.

Almost surely, 213155202022040 is an apocalyptic number.

13155202022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155202022040 is an abundant number, since it is smaller than the sum of its proper divisors (34068600158760).

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

13155202022040 is a wasteful number, since it uses less digits than its factorization.

13155202022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936980234 (or 936980224 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13155202022040 its reverse (4022020255131), we get a palindrome (17177222277171).

The spelling of 13155202022040 in words is "thirteen trillion, one hundred fifty-five billion, two hundred two million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 936980201 1873960402 2810940603 3747920804 4684901005 5621881206 7495841608 8432821809 9369802010 11243762412 12180742613 14054703015 16865643618 18739604020 22487524824 24361485226 25298465427 28109406030 33731287236 36542227839 37479208040 42164109045 48722970452 50596930854 56218812060 60903713065 67462574472 73084455678 84328218090 97445940904 101193861708 109626683517 112437624120 121807426130 126492327135 146168911356 168656436180 182711139195 202387723416 219253367034 243614852260 252984654270 292337822712 328880050551 337312872360 365422278390 438506734068 487229704520 505969308540 548133417585 657760101102 730844556780 877013468136 1011938617080 1096266835170 1315520202204 1461689113560 1644400252755 2192533670340 2631040404408 3288800505510 4385067340680 6577601011020 13155202022040