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40321322403312 = 24310746316956209
BaseRepresentation
bin10010010101100000010100…
…00110010100010111110000
312021202200101021201100121210
421022300022012110113300
520241111032013401222
6221431205414320120
711331055646312256
oct1112601206242760
9167680337640553
1040321322403312
11119361a435a595
124632661359040
131966390a51262
149d57c33b65d6
1549dcb42aed0c
hex24ac0a1945f0

40321322403312 has 80 divisors (see below), whose sum is σ = 105363989844480. Its totient is φ = 13286070690816.

The previous prime is 40321322403259. The next prime is 40321322403319. The reversal of 40321322403312 is 21330422312304.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40321322403312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40321322403319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6100137 + ... + 10856072.

It is an arithmetic number, because the mean of its divisors is an integer number (1317049873056).

Almost surely, 240321322403312 is an apocalyptic number.

It is an amenable number.

40321322403312 is an abundant number, since it is smaller than the sum of its proper divisors (65042667441168).

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

40321322403312 is a wasteful number, since it uses less digits than its factorization.

40321322403312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16956790 (or 16956784 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 40321322403312 its reverse (21330422312304), we get a palindrome (61651744715616).

The spelling of 40321322403312 in words is "forty trillion, three hundred twenty-one billion, three hundred twenty-two million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 463 642 856 926 1284 1389 1712 1852 2568 2778 3704 5136 5556 7408 11112 22224 49541 99082 148623 198164 297246 396328 594492 792656 1188984 2377968 16956209 33912418 50868627 67824836 101737254 135649672 203474508 271299344 406949016 813898032 1814314363 3628628726 5442943089 7257257452 7850724767 10885886178 14514514904 15701449534 21771772356 23552174301 29029029808 31402899068 43543544712 47104348602 62805798136 87087089424 94208697204 125611596272 188417394408 376834788816 840027550069 1680055100138 2520082650207 3360110200276 5040165300414 6720220400552 10080330600828 13440440801104 20160661201656 40321322403312