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3023032240431 = 337210326778287
BaseRepresentation
bin101011111111011010110…
…000110100100100101111
3101200222222022111022121000
4223333122300310210233
5344012132223143211
610232432320211343
7431256362033100
oct53773260644457
911628868438530
103023032240431
11a66073986925
12409a73469b53
1318c0bc499a38
14a645bbb83a7
15539817c1656
hex2bfdac3492f

3023032240431 has 96 divisors (see below), whose sum is σ = 5262940999680. Its totient is φ = 1709830285632.

The previous prime is 3023032240373. The next prime is 3023032240433. The reversal of 3023032240431 is 1340422303203.

3023032240431 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 0 + 3 + 224 + 0 + 431 = 666.

It is not a de Polignac number, because 3023032240431 - 29 = 3023032239919 is a prime.

It is a super-2 number, since 2×30230322404312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3023032240395 and 3023032240404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023032240433) 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, 364787970 + ... + 364796256.

It is an arithmetic number, because the mean of its divisors is an integer number (54822302080).

Almost surely, 23023032240431 is an apocalyptic number.

3023032240431 is a deficient number, since it is larger than the sum of its proper divisors (2239908759249).

3023032240431 is a wasteful number, since it uses less digits than its factorization.

3023032240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 11077 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3023032240431 its reverse (1340422303203), we get a palindrome (4363454543634).

The spelling of 3023032240431 in words is "three trillion, twenty-three billion, thirty-two million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 103 147 189 309 441 721 927 1323 2163 2677 2781 5047 6489 8031 8287 15141 18739 19467 24093 24861 45423 56217 58009 72279 74583 131173 136269 168651 174027 223749 275731 393519 406063 505953 522081 827193 853561 1180557 1218189 1566243 1930117 2481579 2560683 3541671 3654567 5790351 5974927 7444737 7682049 10963701 13510819 17371053 17924781 22184299 23046147 40532457 41824489 52113159 53774343 66552897 121597371 125473467 155290093 161323029 199658691 364792113 376420401 465870279 598976073 1087030651 1129261203 1397610837 2284982797 3261091953 4192832511 6854948391 9783275859 15994879579 20564845173 29349827577 47984638737 61694535519 111964157053 143953916211 335892471159 431861748633 1007677413477 3023032240431