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71345655420 = 223513172316501
BaseRepresentation
bin100001001110010001…
…0000100111001111100
320211011012102211002020
41002130202010321330
52132103441433140
652435321000140
75104004031204
oct1023442047174
9224135384066
1071345655420
1128291842996
12119b1623050
136960179370
14364b61d404
151cc881d6d0
hex109c884e7c

71345655420 has 144 divisors (see below), whose sum is σ = 228534700128. Its totient is φ = 16528896000.

The previous prime is 71345655419. The next prime is 71345655439. The reversal of 71345655420 is 2455654317.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67170 + ... + 383670.

Almost surely, 271345655420 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 71345655420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114267350064).

71345655420 is an abundant number, since it is smaller than the sum of its proper divisors (157189044708).

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

71345655420 is a wasteful number, since it uses less digits than its factorization.

71345655420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316560 (or 316541 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 71345655420 in words is "seventy-one billion, three hundred forty-five million, six hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 289 340 390 442 510 578 663 780 867 884 1020 1105 1156 1326 1445 1734 2210 2652 2890 3315 3468 3757 4335 4420 5780 6630 7514 8670 11271 13260 15028 17340 18785 22542 37570 45084 56355 75140 112710 225420 316501 633002 949503 1266004 1582505 1899006 3165010 3798012 4114513 4747515 5380517 6330020 8229026 9495030 10761034 12343539 16141551 16458052 18990060 20572565 21522068 24687078 26902585 32283102 41145130 49374156 53805170 61717695 64566204 69946721 80707755 82290260 91468789 107610340 123435390 139893442 161415510 182937578 209840163 246870780 274406367 279786884 322831020 349733605 365875156 419680326 457343945 548812734 699467210 839360652 914687890 1049200815 1097625468 1189094257 1372031835 1398934420 1829375780 2098401630 2378188514 2744063670 3567282771 4196803260 4756377028 5488127340 5945471285 7134565542 11890942570 14269131084 17836413855 23781885140 35672827710 71345655420