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412332020240 = 24571748138999
BaseRepresentation
bin1100000000000001110…
…01110101001000010000
31110102022010102220111012
412000000321311020100
523223423444121430
6513231150110052
741534654225540
oct6000071651020
91412263386435
10412332020240
11149961748768
1267ab51ab328
132cb6250233a
1415d57d2b320
15aad43a0695
hex6000e75210

412332020240 has 160 divisors (see below), whose sum is σ = 1160443584000. Its totient is φ = 133012611072.

The previous prime is 412332020227. The next prime is 412332020297. The reversal of 412332020240 is 42020233214.

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, 45815261 + ... + 45824259.

It is an arithmetic number, because the mean of its divisors is an integer number (7252772400).

Almost surely, 2412332020240 is an apocalyptic number.

412332020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412332020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580221792000).

412332020240 is an abundant number, since it is smaller than the sum of its proper divisors (748111563760).

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

412332020240 is a wasteful number, since it uses less digits than its factorization.

412332020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13849 (or 13843 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 412332020240 its reverse (42020233214), we get a palindrome (454352253454).

The spelling of 412332020240 in words is "four hundred twelve billion, three hundred thirty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 4813 8999 9520 9626 17998 19252 24065 33691 35996 38504 44995 48130 62993 67382 71992 77008 81821 89990 96260 125986 134764 143984 152983 163642 168455 179980 192520 251972 269528 305966 314965 327284 336910 359960 385040 409105 503944 539056 572747 611932 629930 654568 673820 719920 764915 818210 1007888 1070881 1145494 1223864 1259860 1309136 1347640 1529830 1636420 2141762 2290988 2447728 2519720 2695280 2863735 3059660 3272840 4283524 4581976 5039440 5354405 5727470 6119320 6545680 8567048 9163952 10708810 11454940 12238640 17134096 21417620 22909880 42835240 43312187 45819760 85670480 86624374 173248748 216560935 303185309 346497496 433121870 606370618 692994992 736307179 866243740 1212741236 1472614358 1515926545 1732487480 2425482472 2945228716 3031853090 3464974960 3681535895 4850964944 5154150253 5890457432 6063706180 7363071790 10308300506 11780914864 12127412360 14726143580 20616601012 24254824720 25770751265 29452287160 41233202024 51541502530 58904574320 82466404048 103083005060 206166010120 412332020240