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71230406324 = 227112231078543
BaseRepresentation
bin100001001010110101…
…0011011111010110100
320210212011120120001012
41002111222123322310
52131334441000244
652420042451352
75101104315050
oct1022552337264
9223764516035
1071230406324
1128232786600
121197ab03b58
136942326a2c
14363a1bcc60
151cbd65589e
hex1095a9beb4

71230406324 has 144 divisors (see below), whose sum is σ = 164943765504. Its totient is φ = 26294326080.

The previous prime is 71230406323. The next prime is 71230406341. The reversal of 71230406324 is 42360403217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71230406321) 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 47 ways as a sum of consecutive naturals, for example, 8333597 + ... + 8342139.

It is an arithmetic number, because the mean of its divisors is an integer number (1145442816).

Almost surely, 271230406324 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 71230406324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82471882752).

71230406324 is an abundant number, since it is smaller than the sum of its proper divisors (93713359180).

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

71230406324 is a wasteful number, since it uses less digits than its factorization.

71230406324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 71230406324 in words is "seventy-one billion, two hundred thirty million, four hundred six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 107 121 154 161 214 242 253 308 322 428 484 506 644 749 847 1012 1177 1498 1694 1771 2354 2461 2783 2996 3388 3542 4708 4922 5566 7084 8239 8543 9844 11132 12947 16478 17086 17227 19481 25894 27071 32956 34172 34454 38962 51788 54142 59801 68908 77924 90629 93973 108284 119602 181258 187946 189497 196489 239204 297781 362516 375892 378994 392978 595562 657811 757988 785956 914101 1033703 1191124 1315622 1375423 1828202 2067406 2084467 2161379 2631244 2750846 3656404 4134812 4168934 4322758 5501692 6398707 7235921 8337868 8645516 10055111 12797414 14471842 15129653 20110222 21024323 23775169 25594828 28943684 30259306 40220444 42048646 47550338 60518612 70385777 84097292 95100676 110606221 140771554 147170261 166426183 221212442 231267553 281543108 294340522 332852366 442424884 462535106 588681044 665704732 774243547 925070212 1548487094 1618872871 2543943083 3096974188 3237745742 5087886166 6475491484 10175772332 17807601581 35615203162 71230406324