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40621132120 = 23517411519649
BaseRepresentation
bin100101110101001101…
…010100100101011000
310212211221211022120211
4211311031110211120
51131143002211440
630354443500504
72635425632422
oct456515244530
9125757738524
1040621132120
111625562a878
127a57b27734
133aa496996a
141d74c95812
1510cb2caeea
hex975354958

40621132120 has 128 divisors (see below), whose sum is σ = 99801072000. Its totient is φ = 14819328000.

The previous prime is 40621132081. The next prime is 40621132147. The reversal of 40621132120 is 2123112604.

It is a junction number, because it is equal to n+sod(n) for n = 40621132091 and 40621132100.

It is a congruent number.

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, 4205056 + ... + 4214704.

It is an arithmetic number, because the mean of its divisors is an integer number (779695875).

Almost surely, 240621132120 is an apocalyptic number.

40621132120 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 40621132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900536000).

40621132120 is an abundant number, since it is smaller than the sum of its proper divisors (59179939880).

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

40621132120 is a wasteful number, since it uses less digits than its factorization.

40621132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9869 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 40621132120 its reverse (2123112604), we get a palindrome (42744244724).

The spelling of 40621132120 in words is "forty billion, six hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 151 164 170 205 302 328 340 410 604 680 697 755 820 1208 1394 1510 1640 2567 2788 3020 3485 5134 5576 6040 6191 6970 9649 10268 12382 12835 13940 19298 20536 24764 25670 27880 30955 38596 48245 49528 51340 61910 77192 96490 102680 105247 123820 164033 192980 210494 247640 328066 385960 395609 420988 526235 656132 791218 820165 841976 1052470 1312264 1456999 1582436 1640330 1978045 2104940 2913998 3164872 3280660 3956090 4209880 5827996 6561320 6725353 7284995 7912180 11655992 13450706 14569990 15824360 24768983 26901412 29139980 33626765 49537966 53802824 58279960 59736959 67253530 99075932 119473918 123844915 134507060 198151864 238947836 247689830 269014120 298684795 477895672 495379660 597369590 990759320 1015528303 1194739180 2031056606 2389478360 4062113212 5077641515 8124226424 10155283030 20310566060 40621132120