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140445140310 = 232519235912041
BaseRepresentation
bin1000001011001100101…
…1101100010101010110
3111102111212022100110100
42002303023230111112
54300112423442220
6144304122434530
713101234665316
oct2026313542526
9442455270410
10140445140310
11546206906a2
1223276962a46
1310322b79a27
146b247c3446
1539bed4ed90
hex20b32ec556

140445140310 has 144 divisors (see below), whose sum is σ = 386493288480. Its totient is φ = 35379106560.

The previous prime is 140445140293. The next prime is 140445140351. The reversal of 140445140310 is 13041544041.

140445140310 is a `hidden beast` number, since 140 + 4 + 4 + 514 + 0 + 3 + 1 + 0 = 666.

It is a super-3 number, since 3×1404451403103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11657890 + ... + 11669930.

It is an arithmetic number, because the mean of its divisors is an integer number (2683981170).

Almost surely, 2140445140310 is an apocalyptic number.

140445140310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140445140310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193246644240).

140445140310 is an abundant number, since it is smaller than the sum of its proper divisors (246048148170).

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

140445140310 is a wasteful number, since it uses less digits than its factorization.

140445140310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12451 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 140445140310 its reverse (13041544041), we get a palindrome (153486684351).

The spelling of 140445140310 in words is "one hundred forty billion, four hundred forty-five million, one hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 359 361 570 718 722 855 1077 1083 1710 1795 1805 2154 2166 3231 3249 3590 3610 5385 5415 6462 6498 6821 10770 10830 12041 13642 16155 16245 20463 24082 32310 32490 34105 36123 40926 60205 61389 68210 72246 102315 108369 120410 122778 129599 180615 204630 216738 228779 259198 306945 361230 388797 457558 541845 613890 647995 686337 777594 1083690 1143895 1166391 1295990 1372674 1943985 2059011 2287790 2332782 3431685 3887970 4118022 4322719 4346801 5831955 6863370 8645438 8693602 10295055 11663910 12968157 13040403 20590110 21613595 21734005 25936314 26080806 38904471 39121209 43227190 43468010 64840785 65202015 77808942 78242418 82131661 129681570 130404030 164263322 194522355 195606045 246394983 389044710 391212090 410658305 492789966 739184949 821316610 1231974915 1478369898 1560501559 2463949830 3121003118 3695924745 4681504677 7391849490 7802507795 9363009354 14044514031 15605015590 23407523385 28089028062 46815046770 70222570155 140445140310