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40514406546207 = 31121738928195987
BaseRepresentation
bin10010011011000111111101…
…10011110111101100011111
312022110010202122121002200110
421031203332303313230133
520302242001033434312
6222100021133501103
711351032522406466
oct1115437663675437
9168403678532613
1040514406546207
1111a00077317a00
124663b68941793
13197b652318499
14a00c9cba19dd
154a3d154db43c
hex24d8fecf7b1f

40514406546207 has 96 divisors (see below), whose sum is σ = 63063728582400. Its totient is φ = 23038388116480.

The previous prime is 40514406546161. The next prime is 40514406546269. The reversal of 40514406546207 is 70264560441504.

It is not a de Polignac number, because 40514406546207 - 215 = 40514406513439 is a prime.

It is a super-2 number, since 2×405144065462072 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40514406946207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6767060068 + ... + 6767066054.

It is an arithmetic number, because the mean of its divisors is an integer number (656913839400).

Almost surely, 240514406546207 is an apocalyptic number.

40514406546207 is a deficient number, since it is larger than the sum of its proper divisors (22549322036193).

40514406546207 is a wasteful number, since it uses less digits than its factorization.

40514406546207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 40514406546207 in words is "forty trillion, five hundred fourteen billion, four hundred six million, five hundred forty-six thousand, two hundred seven".

Divisors: 1 3 11 17 33 51 121 187 363 389 561 1167 2057 2819 4279 5987 6171 6613 8457 12837 17961 19839 31009 47069 47923 65857 72743 93027 101779 141207 143769 197571 218229 305337 341099 527153 724427 800173 1023297 1096591 1119569 1581459 2173281 2328943 2400519 3289773 3358707 5798683 6986829 12062501 12315259 16877353 17396049 18642047 25618373 36187503 36945777 39592031 50632059 55926141 76855119 118776093 132687511 185650883 205062517 281802103 286915001 398062533 435512341 556952649 615187551 845406309 860745003 1306537023 2042159713 2255687687 3156065011 4790635751 6126479139 6565290317 6767063061 9468195033 14371907253 19695870951 34716715121 72218193487 104150145363 111609935389 216654580461 334829806167 794400128357 1227709289279 2383200385071 3683127867837 13504802182069 40514406546207