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42334040130032 = 2472417103220807
BaseRepresentation
bin10011010000000101010010…
…11011001000000111110000
312112220002120001012122220102
421220002221123020013300
521022100103233130112
6230011553424331532
711626350656565650
oct1150025133100760
9175802501178812
1042334040130032
1112541847009722
1248b8754473ba8
131a81110054cc1
14a64d9ad14360
154d6313a32bc2
hex2680a96c81f0

42334040130032 has 80 divisors (see below), whose sum is σ = 94142299840512. Its totient is φ = 18065251722240.

The previous prime is 42334040130029. The next prime is 42334040130049. The reversal of 42334040130032 is 23003104043324.

It is a junction number, because it is equal to n+sod(n) for n = 42334040129977 and 42334040130004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191613773 + ... + 191834579.

Almost surely, 242334040130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334040130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47071149920256).

42334040130032 is an abundant number, since it is smaller than the sum of its proper divisors (51808259710480).

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

42334040130032 is a wasteful number, since it uses less digits than its factorization.

42334040130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228166 (or 228160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 42334040130032 its reverse (23003104043324), we get a palindrome (65337144173356).

The spelling of 42334040130032 in words is "forty-two trillion, three hundred thirty-four billion, forty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 6748 7103 13496 14206 26992 28412 49721 56824 99442 113648 198884 220807 397768 441614 795536 883228 1545649 1711823 1766456 3091298 3423646 3532912 6182596 6847292 11982761 12365192 13694584 23965522 24730384 27389168 47931044 53214487 95862088 106428974 191724176 212857948 372501409 425715896 745002818 851431792 1490005636 1568392121 2980011272 3136784242 5960022544 6273568484 10978744847 12547136968 21957489694 25094273936 43914979388 87829958776 175659917552 377982501161 755965002322 1511930004644 2645877508127 3023860009288 5291755016254 6047720018576 10583510032508 21167020065016 42334040130032