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2241115253144 = 23193113121117207
BaseRepresentation
bin100000100111001100111…
…000001110100110011000
321221020201011201210122222
4200213030320032212120
5243204301001100034
64433315405403212
7320625632224535
oct40471470164630
97836634653588
102241115253144
117944a7153239
12302414b69508
1313344a9c73b1
147a6832cbd8c
153d46acd412e
hex209cce0e998

2241115253144 has 128 divisors (see below), whose sum is σ = 4622867251200. Its totient is φ = 1014603408000.

The previous prime is 2241115253141. The next prime is 2241115253147. The reversal of 2241115253144 is 4413525111422.

It is an interprime number because it is at equal distance from previous prime (2241115253141) and next prime (2241115253147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241115253141) 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, 130235789 + ... + 130252995.

It is an arithmetic number, because the mean of its divisors is an integer number (36116150400).

Almost surely, 22241115253144 is an apocalyptic number.

It is an amenable number.

2241115253144 is an abundant number, since it is smaller than the sum of its proper divisors (2381751998056).

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

2241115253144 is a wasteful number, since it uses less digits than its factorization.

2241115253144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17605 (or 17601 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The spelling of 2241115253144 in words is "two trillion, two hundred forty-one billion, one hundred fifteen million, two hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 31 38 62 76 124 131 152 211 248 262 422 524 589 844 1048 1178 1688 2356 2489 4009 4061 4712 4978 6541 8018 8122 9956 13082 16036 16244 17207 19912 26164 27641 32072 32488 34414 52328 55282 68828 77159 110564 124279 137656 154318 221128 248558 308636 326933 497116 525179 533417 617272 653866 856871 994232 1050358 1066834 1307732 1713742 2100716 2133668 2254117 2615464 3427484 3630677 4201432 4267336 4508234 6854968 7261354 9016468 10134923 14522708 16280549 18032936 20269846 29045416 32561098 40539692 42828223 65122196 68982863 69877627 81079384 85656446 112550987 130244392 137965726 139755254 171312892 225101974 275931452 279510508 342625784 450203948 475618687 551862904 559021016 900407896 951237374 1327674913 1902474748 2138468753 2655349826 3804949496 4276937506 5310699652 8553875012 9036755053 10621399304 14744179297 17107750024 18073510106 29488358594 36147020212 58976717188 72294040424 117953434376 280139406643 560278813286 1120557626572 2241115253144