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1115456663040 = 2935503288751
BaseRepresentation
bin10000001110110110011…
…001011110111000000000
310221122012002111121100020
4100032312121132320000
5121233423401204130
62212233403253440
7143406025124046
oct20166631367000
93848162447306
101115456663040
113a007622a785
1216022421a280
1381258114a35
143bdba202396
151e03791ce10
hex103b665ee00

1115456663040 has 160 divisors (see below), whose sum is σ = 3573077308416. Its totient is φ = 296862720000.

The previous prime is 1115456663011. The next prime is 1115456663071. The reversal of 1115456663040 is 403666545111.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1115456662983 and 1115456663001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3718665 + ... + 4007415.

Almost surely, 21115456663040 is an apocalyptic number.

1115456663040 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 1115456663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786538654208).

1115456663040 is an abundant number, since it is smaller than the sum of its proper divisors (2457620645376).

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

1115456663040 is an equidigital number, since it uses as much as digits as its factorization.

1115456663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289280 (or 289264 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1115456663040 in words is "one trillion, one hundred fifteen billion, four hundred fifty-six million, six hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 503 512 640 768 960 1006 1280 1509 1536 1920 2012 2515 2560 3018 3840 4024 5030 6036 7545 7680 8048 10060 12072 15090 16096 20120 24144 30180 32192 40240 48288 60360 64384 80480 96576 120720 128768 160960 193152 241440 257536 288751 321920 386304 482880 577502 643840 772608 866253 965760 1155004 1287680 1443755 1732506 1931520 2310008 2887510 3465012 3863040 4331265 4620016 5775020 6930024 8662530 9240032 11550040 13860048 17325060 18480064 23100080 27720096 34650120 36960128 46200160 55440192 69300240 73920256 92400320 110880384 138600480 145241753 147840512 184800640 221760768 277200960 290483506 369601280 435725259 443521536 554401920 580967012 726208765 739202560 871450518 1108803840 1161934024 1452417530 1742901036 2178626295 2217607680 2323868048 2904835060 3485802072 4357252590 4647736096 5809670120 6971604144 8714505180 9295472192 11619340240 13943208288 17429010360 18590944384 23238680480 27886416576 34858020720 37181888768 46477360960 55772833152 69716041440 74363777536 92954721920 111545666304 139432082880 185909443840 223091332608 278864165760 371818887680 557728331520 1115456663040