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45406051002240 = 273561387688277
BaseRepresentation
bin10100101001011111010111…
…00010100110011110000000
312221202202221202122021022120
422110233223202212132000
521422413043024032430
6240323130223004240
712364323162265635
oct1224575342463600
9187682852567276
1045406051002240
111351666406a525
125113bb6739680
131c44a067b2456
14b2d94390c18c
1553b1b0196610
hex294beb8a6780

45406051002240 has 128 divisors (see below), whose sum is σ = 147104440204320. Its totient is φ = 11909783838720.

The previous prime is 45406051002233. The next prime is 45406051002289. The reversal of 45406051002240 is 4220015060454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193727019 + ... + 193961258.

Almost surely, 245406051002240 is an apocalyptic number.

45406051002240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45406051002240 is an abundant number, since it is smaller than the sum of its proper divisors (101698389202080).

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

45406051002240 is a wasteful number, since it uses less digits than its factorization.

45406051002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387688360 (or 387688348 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 45406051002240 its reverse (4220015060454), we get a palindrome (49626066062694).

The spelling of 45406051002240 in words is "forty-five trillion, four hundred six billion, fifty-one million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 305 320 366 384 480 488 610 640 732 915 960 976 1220 1464 1830 1920 1952 2440 2928 3660 3904 4880 5856 7320 7808 9760 11712 14640 19520 23424 29280 39040 58560 117120 387688277 775376554 1163064831 1550753108 1938441385 2326129662 3101506216 3876882770 4652259324 5815324155 6203012432 7753765540 9304518648 11630648310 12406024864 15507531080 18609037296 23261296620 23648984897 24812049728 31015062160 37218074592 46522593240 47297969794 49624099456 62030124320 70946954691 74436149184 93045186480 94595939588 118244924485 124060248640 141893909382 148872298368 186090372960 189191879176 236489848970 248120497280 283787818764 354734773455 372180745920 378383758352 472979697940 567575637528 709469546910 744361491840 756767516704 945959395880 1135151275056 1418939093820 1513535033408 1891918791760 2270302550112 2837878187640 3027070066816 3783837583520 4540605100224 5675756375280 7567675167040 9081210200448 11351512750560 15135350334080 22703025501120 45406051002240