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3240431234442 = 234178378718013
BaseRepresentation
bin101111001001111000110…
…000001010110110001010
3102110210010020001110220000
4233021320300022312022
5411042400344000232
610520344503143430
7453053623013133
oct57117060126612
912423106043800
103240431234442
11103a293a54816
12444025a44b76
131a675735aa2c
14b2ba295ac8a
155945748327c
hex2f278c0ad8a

3240431234442 has 160 divisors (see below), whose sum is σ = 7791028483392. Its totient is φ = 1003025742336.

The previous prime is 3240431234423. The next prime is 3240431234483. The reversal of 3240431234442 is 2444321340423.

3240431234442 is a `hidden beast` number, since 3 + 240 + 4 + 31 + 2 + 344 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3240431234397 and 3240431234406.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179885028 + ... + 179903040.

Almost surely, 23240431234442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240431234442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895514241696).

3240431234442 is an abundant number, since it is smaller than the sum of its proper divisors (4550597248950).

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

3240431234442 is a wasteful number, since it uses less digits than its factorization.

3240431234442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18914 (or 18905 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3240431234442 its reverse (2444321340423), we get a palindrome (5684752574865).

The spelling of 3240431234442 in words is "three trillion, two hundred forty billion, four hundred thirty-one million, two hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 83 102 153 162 166 249 306 459 498 747 787 918 1377 1411 1494 1574 2241 2361 2754 2822 4233 4482 4722 6723 7083 8466 12699 13379 13446 14166 18013 21249 25398 26758 36026 38097 40137 42498 54039 63747 65321 76194 80274 108078 114291 120411 127494 130642 162117 195963 228582 240822 306221 324234 361233 391926 486351 587889 612442 722466 918663 972702 1083699 1110457 1175778 1459053 1495079 1763667 1837326 2167398 2220914 2755989 2918106 2990158 3331371 3527334 4485237 5291001 5511978 6662742 8267967 8970474 9994113 10582002 13455711 14176231 16535934 19988226 24803901 25416343 26911422 28352462 29982339 40367133 42528693 49607802 50832686 59964678 76249029 80734266 85057386 89947017 121101399 127586079 152498058 179894034 228747087 240995927 242202798 255172158 382758237 457494174 481991854 686241261 722987781 765516474 1148274711 1176627173 1372482522 1445975562 2058723783 2168963343 2296549422 2353254346 3529881519 4117447566 4337926686 6506890029 7059763038 10589644557 13013780058 19520670087 20002661941 21179289114 31768933671 39041340174 40005323882 60007985823 63537867342 95306801013 120015971646 180023957469 190613602026 360047914938 540071872407 1080143744814 1620215617221 3240431234442