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40924061031 = 3721931279193
BaseRepresentation
bin100110000111010000…
…111001110101100111
310220122001211200221010
4212013100321311213
51132303024423111
630444504353303
72646064531200
oct460720716547
9126561750833
1040924061031
11163a0624847
127b21475833
133b22651939
141da31cc5a7
1510e7bb7aa6
hex987439d67

40924061031 has 144 divisors (see below), whose sum is σ = 70275801600. Its totient is φ = 21058652160.

The previous prime is 40924061029. The next prime is 40924061033. The reversal of 40924061031 is 13016042904.

It is an interprime number because it is at equal distance from previous prime (40924061029) and next prime (40924061033).

It is not a de Polignac number, because 40924061031 - 21 = 40924061029 is a prime.

It is a super-2 number, since 2×409240610312 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40924061031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40924061033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212041671 + ... + 212041863.

It is an arithmetic number, because the mean of its divisors is an integer number (488026400).

Almost surely, 240924061031 is an apocalyptic number.

40924061031 is a deficient number, since it is larger than the sum of its proper divisors (29351740569).

40924061031 is a wasteful number, since it uses less digits than its factorization.

40924061031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 40924061031 in words is "forty billion, nine hundred twenty-four million, sixty-one thousand, thirty-one".

Divisors: 1 3 7 19 21 31 49 57 79 93 133 147 193 217 237 399 553 579 589 651 931 961 1351 1501 1519 1659 1767 2449 2793 2883 3667 3871 4053 4123 4503 4557 5983 6727 7347 9457 10507 11001 11613 12369 15247 17143 17949 18259 20181 25669 28371 28861 31521 41881 45741 46531 47089 51429 54777 73549 75919 77007 86583 106729 113677 120001 125643 127813 139593 141267 179683 185473 220647 227757 289693 293167 320187 325717 341031 360003 383439 472657 531433 539049 556419 747103 795739 869079 879501 894691 977151 1298311 1417971 1442461 1594299 2027851 2241309 2280019 2387217 2684073 3308599 3523987 3720031 3894933 4327383 5570173 6083553 6840057 8980483 9088177 9925797 10097227 10571961 11160093 14194957 14652367 16710519 23160193 24667909 26941449 27264531 30291681 42584871 43957101 62863381 69480579 70680589 74003727 102566569 172675363 188590143 212041767 278394973 307699707 440043667 518026089 717965983 835184919 1320131001 1948764811 2153897949 5846294433 13641353677 40924061031