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114425124393024 = 2636495232
BaseRepresentation
bin11010000001000110101100…
…111001001001000001000000
3120000010221020122210021000000
4122001012230321021001000
5104444220123321034044
61043210102041000000
733046641152324154
oct3201065471110100
9500127218707000
10114425124393024
1133506471732535
1210a00432783000
134bb0320946073
1420382c412b064
15d366d7b5ad69
hex6811ace49040

114425124393024 has 147 divisors (see below), whose sum is σ = 340444673303983. Its totient is φ = 38140937949312.

The previous prime is 114425124393011. The next prime is 114425124393037. The reversal of 114425124393024 is 420393421524411.

It is a happy number.

The square root of 114425124393024 is 10696968.

It is a perfect power (a square), and thus also a powerful number.

114425124393024 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 512 + 43 + 93 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114425124393011) and next prime (114425124393037).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2310520327 + ... + 2310569849.

Almost surely, 2114425124393024 is an apocalyptic number.

114425124393024 is the 10696968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114425124393024

114425124393024 is an abundant number, since it is smaller than the sum of its proper divisors (226019548910959).

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

114425124393024 is an frugal number, since it uses more digits than its factorization.

114425124393024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99076 (or 49528 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 114425124393024 in words is "one hundred fourteen trillion, four hundred twenty-five billion, one hundred twenty-four million, three hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 49523 99046 148569 198092 297138 396184 445707 594276 792368 891414 1188552 1337121 1584736 1782828 2377104 2674242 3169472 3565656 4011363 4754208 5348484 7131312 8022726 9508416 10696968 12034089 14262624 16045452 21393936 24068178 28525248 32090904 36102267 42787872 48136356 64181808 72204534 85575744 96272712 128363616 144409068 192545424 256727232 288818136 385090848 577636272 770181696 1155272544 2310545088 2452527529 4905055058 7357582587 9810110116 14715165174 19620220232 22072747761 29430330348 39240440464 44145495522 58860660696 66218243283 78480880928 88290991044 117721321392 132436486566 156961761856 176581982088 198654729849 235442642784 264872973132 353163964176 397309459698 470885285568 529745946264 595964189547 706327928352 794618919396 1059491892528 1191928379094 1412655856704 1589237838792 1787892568641 2118983785056 2383856758188 3178475677584 3575785137282 4237967570112 4767713516376 6356951355168 7151570274564 9535427032752 12713902710336 14303140549128 19070854065504 28606281098256 38141708131008 57212562196512 114425124393024