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45140201515542 = 23723734911188679
BaseRepresentation
bin10100100001110000001011…
…01011010010101000010110
312220211100202020221001211110
422100320011223102220112
521404034113041444132
6240001042225515450
712336162163034100
oct1220700553225026
9186740666831743
1045140201515542
1113423940a53341
1250905821a2b86
131c25919bb8a83
14b20b24148570
15534300bb81cc
hex290e05ad2a16

45140201515542 has 96 divisors (see below), whose sum is σ = 107889427595520. Its totient is φ = 12545022329280.

The previous prime is 45140201515457. The next prime is 45140201515589. The reversal of 45140201515542 is 24551510204154.

It is a self number, because there is not a number n which added to its sum of digits gives 45140201515542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37380759 + ... + 38569437.

It is an arithmetic number, because the mean of its divisors is an integer number (1123848204120).

Almost surely, 245140201515542 is an apocalyptic number.

45140201515542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45140201515542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53944713797760).

45140201515542 is an abundant number, since it is smaller than the sum of its proper divisors (62749226079978).

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

45140201515542 is a wasteful number, since it uses less digits than its factorization.

45140201515542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192226 (or 1192219 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 39.

Adding to 45140201515542 its reverse (24551510204154), we get a palindrome (69691711719696).

The spelling of 45140201515542 in words is "forty-five trillion, one hundred forty billion, two hundred one million, five hundred fifteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3491 3626 5439 6982 10473 10878 20946 24437 48874 73311 129167 146622 171059 258334 342118 387501 513177 775002 904169 1026354 1188679 1808338 2377358 2712507 3566037 5425014 6329183 7132074 8320753 12658366 16641506 18987549 24962259 37975098 43981123 49924518 58245271 87962246 116490542 131943369 174735813 263886738 307867861 349471626 615735722 923603583 1847207166 2155075027 4149678389 4310150054 6465225081 8299356778 12449035167 12930450162 24898070334 29047748723 58095497446 87143246169 153538100393 174286492338 203334241061 307076200786 406668482122 460614301179 610002723183 921228602358 1074766702751 1220005446366 2149533405502 3224300108253 6448600216506 7523366919257 15046733838514 22570100757771 45140201515542