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11445424154120 = 23511174231361649
BaseRepresentation
bin1010011010001101100001…
…1100001110011000001000
31111112011122021210011102202
42212203120130032120020
53000010212040412440
640201542201015332
72260622165054465
oct246433034163010
944464567704382
1011445424154120
113712a8260a650
12134a249484548
136503b67c0ca8
142b7d6645866c
1514cac5d76615
hexa68d870e608

11445424154120 has 128 divisors (see below), whose sum is σ = 29752974432000. Its totient is φ = 3916213862400.

The previous prime is 11445424154077. The next prime is 11445424154173. The reversal of 11445424154120 is 2145142454411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31467056 + ... + 31828704.

It is an arithmetic number, because the mean of its divisors is an integer number (232445112750).

Almost surely, 211445424154120 is an apocalyptic number.

11445424154120 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 11445424154120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876487216000).

11445424154120 is an abundant number, since it is smaller than the sum of its proper divisors (18307550277880).

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

11445424154120 is a wasteful number, since it uses less digits than its factorization.

11445424154120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365919 (or 365915 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The spelling of 11445424154120 in words is "eleven trillion, four hundred forty-five billion, four hundred twenty-four million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 4231 7480 8462 16924 21155 33848 42310 46541 71927 84620 93082 143854 169240 186164 232705 287708 359635 361649 372328 465410 575416 719270 723298 791197 930820 1438540 1446596 1582394 1808245 1861640 2877080 2893192 3164788 3616490 3955985 3978139 6148033 6329576 7232980 7911970 7956278 12296066 14465960 15823940 15912556 19890695 24592132 30740165 31647880 31825112 39781390 49184264 61480330 67628363 79562780 122960660 135256726 159125560 245921320 270513452 338141815 541026904 676283630 1352567260 1530136919 2705134520 3060273838 6120547676 7650684595 12241095352 15301369190 16831506109 26012327623 30602738380 33663012218 52024655246 61205476760 67326024436 84157530545 104049310492 130061638115 134652048872 168315061090 208098620984 260123276230 286135603853 336630122180 520246552460 572271207706 673260244360 1040493104920 1144542415412 1430678019265 2289084830824 2861356038530 5722712077060 11445424154120