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32412061240 = 235131910930097
BaseRepresentation
bin11110001011111010…
…001100111000111000
310002122212000022100121
4132023322030320320
51012334441424430
622520114543024
72225125655236
oct361372147070
9102585008317
1032412061240
1112822844379
126346897a74
133097014880
1417d6927956
15c9a783a7a
hex78be8ce38

32412061240 has 128 divisors (see below), whose sum is σ = 83431656000. Its totient is φ = 11233271808.

The previous prime is 32412061237. The next prime is 32412061261. The reversal of 32412061240 is 4216021423.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1061872 + ... + 1091968.

Almost surely, 232412061240 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 32412061240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41715828000).

32412061240 is an abundant number, since it is smaller than the sum of its proper divisors (51019594760).

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

32412061240 is a wasteful number, since it uses less digits than its factorization.

32412061240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30249 (or 30245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 32412061240 its reverse (4216021423), we get a palindrome (36628082663).

The spelling of 32412061240 in words is "thirty-two billion, four hundred twelve million, sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 109 130 152 190 218 247 260 380 436 494 520 545 760 872 988 1090 1235 1417 1976 2071 2180 2470 2834 4142 4360 4940 5668 7085 8284 9880 10355 11336 14170 16568 20710 26923 28340 30097 41420 53846 56680 60194 82840 107692 120388 134615 150485 215384 240776 269230 300970 391261 538460 571843 601940 782522 1076920 1143686 1203880 1565044 1956305 2287372 2859215 3130088 3280573 3912610 4574744 5718430 6561146 7433959 7825220 11436860 13122292 14867918 15650440 16402865 22873720 26244584 29735836 32805730 37169795 42647449 59471672 62330887 65611460 74339590 85294898 124661774 131222920 148679180 170589796 213237245 249323548 297358360 311654435 341179592 426474490 498647096 623308870 810301531 852948980 1246617740 1620603062 1705897960 2493235480 3241206124 4051507655 6482412248 8103015310 16206030620 32412061240