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145412211003525 = 3452676310617847
BaseRepresentation
bin100001000100000001101011…
…001011101101000010000101
3201001212021100000002021210000
4201010001223023231002011
5123024413202004103100
61233133240355551513
742425454100542504
oct4104015313550205
9631767300067700
10145412211003525
1142372a7724a854
1214385a3b2bb599
13631a40abb536b
1427c9dba89c83b
1511c278a656900
hex84406b2ed085

145412211003525 has 60 divisors (see below), whose sum is σ = 269393533643872. Its totient is φ = 77541704624160.

The previous prime is 145412211003523. The next prime is 145412211003649. The reversal of 145412211003525 is 525300112214541.

145412211003525 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 1 + 2 + 21 + 100 + 3 + 525 = 666.

It is not a de Polignac number, because 145412211003525 - 21 = 145412211003523 is a prime.

It is a super-2 number, since 2×1454122110035252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145412211003525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412211003523) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8386152 + ... + 19003998.

Almost surely, 2145412211003525 is an apocalyptic number.

145412211003525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145412211003525 is a deficient number, since it is larger than the sum of its proper divisors (123981322640347).

145412211003525 is a wasteful number, since it uses less digits than its factorization.

145412211003525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624632 (or 10624618 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 145412211003525 in words is "one hundred forty-five trillion, four hundred twelve billion, two hundred eleven million, three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6763 20289 33815 60867 101445 169075 182601 304335 507225 547803 913005 1521675 2739015 4565025 10617847 13695075 31853541 53089235 95560623 159267705 265446175 286681869 477803115 796338525 860045607 1433409345 2389015575 4300228035 7167046725 21501140175 71808499261 215425497783 359042496305 646276493349 1077127488915 1795212481525 1938829480047 3231382466745 5385637444575 5816488440141 9694147400235 16156912333725 29082442200705 48470737001175 145412211003525