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10140252530440 = 2352961337425237
BaseRepresentation
bin1001001110001111011000…
…1001100110011100001000
31022220101202122010000012211
42103203312021212130020
52312114214121433230
633322211231314504
72064415624235044
oct223436611463410
938811678100184
1010140252530440
11325a503219aaa
1211792ba07ba34
135872b61378c6
14270b100d5024
15128b87de842a
hex938f6266708

10140252530440 has 128 divisors (see below), whose sum is σ = 24060476325600. Its totient is φ = 3840595476480.

The previous prime is 10140252530417. The next prime is 10140252530449. The reversal of 10140252530440 is 4403525204101.

It can be written as a sum of positive squares in 16 ways, for example, as 283528560676 + 9856723969764 = 532474^2 + 3139542^2 .

It is not an unprimeable number, because it can be changed into a prime (10140252530449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23633502 + ... + 24058738.

Almost surely, 210140252530440 is an apocalyptic number.

10140252530440 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 10140252530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030238162800).

10140252530440 is an abundant number, since it is smaller than the sum of its proper divisors (13920223795160).

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

10140252530440 is a wasteful number, since it uses less digits than its factorization.

10140252530440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425675 (or 425671 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 10140252530440 its reverse (4403525204101), we get a palindrome (14543777734541).

The spelling of 10140252530440 in words is "ten trillion, one hundred forty billion, two hundred fifty-two million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 337 488 580 610 674 1160 1220 1348 1685 1769 2440 2696 3370 3538 6740 7076 8845 9773 13480 14152 17690 19546 20557 35380 39092 41114 48865 70760 78184 82228 97730 102785 164456 195460 205570 390920 411140 425237 596153 822280 850474 1192306 1700948 2126185 2384612 2980765 3401896 4252370 4769224 5961530 8504740 11923060 12331873 17009480 23846120 24663746 25939457 49327492 51878914 61659365 98654984 103757828 123318730 129697285 143304869 207515656 246637460 259394570 286609738 493274920 518789140 573219476 716524345 752244253 1037578280 1146438952 1433048690 1504488506 2866097380 3008977012 3761221265 4155841201 5732194760 6017954024 7522442530 8311682402 8741597009 15044885060 16623364804 17483194018 20779206005 30089770120 33246729608 34966388036 41558412010 43707985045 69932776072 83116824020 87415970090 166233648040 174831940180 253506313261 349663880360 507012626522 1014025253044 1267531566305 2028050506088 2535063132610 5070126265220 10140252530440