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32131114311440 = 2456744369119583
BaseRepresentation
bin1110100111001000110111…
…01001111001111100010000
311012202201000121020202000002
413103210123221321330100
513202414010230431230
6152200455150545132
76524252652222104
oct723443351717420
9135681017222002
1032131114311440
11a268802410711
12372b2852081a8
1314c0c49699c11
147d12232cb904
153aac0d87b545
hex1d391ba79f10

32131114311440 has 160 divisors (see below), whose sum is σ = 76104847835136. Its totient is φ = 12613113976320.

The previous prime is 32131114311409. The next prime is 32131114311451. The reversal of 32131114311440 is 4411341113123.

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, 1640755889 + ... + 1640775471.

Almost surely, 232131114311440 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 32131114311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38052423917568).

32131114311440 is an abundant number, since it is smaller than the sum of its proper divisors (43973733523696).

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

32131114311440 is a wasteful number, since it uses less digits than its factorization.

32131114311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20797 (or 20791 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 32131114311440 its reverse (4411341113123), we get a palindrome (36542455424563).

The spelling of 32131114311440 in words is "thirty-two trillion, one hundred thirty-one billion, one hundred fourteen million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 443 536 670 691 886 1072 1340 1382 1772 2215 2680 2764 3455 3544 4430 5360 5528 6910 7088 8860 11056 13820 17720 19583 27640 29681 35440 39166 46297 55280 59362 78332 92594 97915 118724 148405 156664 185188 195830 231485 237448 296810 306113 313328 370376 391660 462970 474896 593620 612226 740752 783320 925940 1187240 1224452 1312061 1530565 1566640 1851880 2374480 2448904 2624122 3061130 3703760 4897808 5248244 6122260 6560305 8675269 10496488 12244520 13120610 13531853 17350538 20509571 20992976 24489040 26241220 27063706 34701076 41019142 43376345 52482440 54127412 67659265 69402152 82038284 86752690 102547855 104964880 108254824 135318530 138804304 164076568 173505380 205095710 216509648 270637060 328153136 347010760 410191420 541274120 581243023 694021520 820382840 906634151 1082548240 1162486046 1640765680 1813268302 2324972092 2906215115 3626536604 4533170755 4649944184 5812430230 5994610879 7253073208 9066341510 9299888368 11624860460 11989221758 14506146416 18132683020 23249720920 23978443516 29973054395 36265366040 46499441840 47956887032 59946108790 72530732080 95913774064 119892217580 239784435160 401638928893 479568870320 803277857786 1606555715572 2008194644465 3213111431144 4016389288930 6426222862288 8032778577860 16065557155720 32131114311440