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42334836963432 = 23313536141969867
BaseRepresentation
bin10011010000000110110001…
…11010110011100001101000
312112220011121120120222211120
421220003120322303201220
521022103221230312212
6230012204451255240
711626406503553256
oct1150033072634150
9175804546528746
1042334836963432
1112542115887422
1248b89372aa520
131a81209169760
14a65034a975d6
154d635d98188c
hex2680d8eb3868

42334836963432 has 128 divisors (see below), whose sum is σ = 118032699173760. Its totient is φ = 12570814264320.

The previous prime is 42334836963427. The next prime is 42334836963443. The reversal of 42334836963432 is 23436963843324.

It is a super-4 number, since 4×423348369634324 (a number of 56 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19976238 + ... + 21993629.

It is an arithmetic number, because the mean of its divisors is an integer number (922130462295).

Almost surely, 242334836963432 is an apocalyptic number.

It is an amenable number.

42334836963432 is an abundant number, since it is smaller than the sum of its proper divisors (75697862210328).

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

42334836963432 is a wasteful number, since it uses less digits than its factorization.

42334836963432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41970003 (or 41969999 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 60.

The spelling of 42334836963432 in words is "forty-two trillion, three hundred thirty-four billion, eight hundred thirty-six million, nine hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 61 78 104 106 122 156 159 183 212 244 312 318 366 424 488 636 689 732 793 1272 1378 1464 1586 2067 2379 2756 3172 3233 4134 4758 5512 6344 6466 8268 9516 9699 12932 16536 19032 19398 25864 38796 42029 77592 84058 126087 168116 252174 336232 504348 1008696 41969867 83939734 125909601 167879468 251819202 335758936 503638404 545608271 1007276808 1091216542 1636824813 2182433084 2224402951 2560161887 3273649626 4364866168 4448805902 5120323774 6547299252 6673208853 7680485661 8897611804 10240647548 13094598504 13346417706 15360971322 17795223608 20481295096 26692835412 28917238363 30721942644 33282104531 53385670824 57834476726 61443885288 66564209062 86751715089 99846313593 115668953452 133128418124 135688580011 173503430178 199692627186 231337906904 266256836248 271377160022 347006860356 399385254372 407065740033 542754320044 694013720712 798770508744 814131480066 1085508640088 1628262960132 1763951540143 3256525920264 3527903080286 5291854620429 7055806160572 10583709240858 14111612321144 21167418481716 42334836963432