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10231342440 = 2335119418237
BaseRepresentation
bin10011000011101010…
…11110010101101000
3222102001002001021220
421201311132111220
5131423210424230
64411125102040
7511353655464
oct114165362550
928361061256
1010231342440
114380365010
121b96557920
13c708c97a7
146d0b834a4
153ed358d10
hex261d5e568

10231342440 has 128 divisors (see below), whose sum is σ = 33524046720. Its totient is φ = 2477388800.

The previous prime is 10231342427. The next prime is 10231342489. The reversal of 10231342440 is 4424313201.

10231342440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10231342440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1238002 + ... + 1246238.

It is an arithmetic number, because the mean of its divisors is an integer number (261906615).

Almost surely, 210231342440 is an apocalyptic number.

10231342440 is a gapful number since it is divisible by the number (10) 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 10231342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762023360).

10231342440 is an abundant number, since it is smaller than the sum of its proper divisors (23292704280).

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

10231342440 is a wasteful number, since it uses less digits than its factorization.

10231342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9203 (or 9199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10231342440 its reverse (4424313201), we get a palindrome (14655655641).

The spelling of 10231342440 in words is "ten billion, two hundred thirty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 941 1320 1882 2823 3764 4705 5646 7528 8237 9410 10351 11292 14115 16474 18820 20702 22584 24711 28230 31053 32948 37640 41185 41404 49422 51755 56460 62106 65896 82370 82808 90607 98844 103510 112920 123555 124212 155265 164740 181214 197688 207020 247110 248424 271821 310530 329480 362428 414040 453035 494220 543642 621060 724856 906070 988440 1087284 1242120 1359105 1812140 2174568 2718210 3624280 5436420 7751017 10872840 15502034 23253051 31004068 38755085 46506102 62008136 77510170 85261187 93012204 116265255 155020340 170522374 186024408 232530510 255783561 310040680 341044748 426305935 465061020 511567122 682089496 852611870 930122040 1023134244 1278917805 1705223740 2046268488 2557835610 3410447480 5115671220 10231342440