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120141005351304 = 23372926639260039
BaseRepresentation
bin11011010100010010000001…
…111100100110100110001000
3120202101100221020020001102010
4123110102001330212212020
5111221342234332220204
61103304003234535520
734206621052662630
oct3324220174464610
9522340836201363
10120141005351304
113530a5724a66a3
121158416b7375a0
13520632c3807a2
142194bd9ddd6c0
15dd5223763d89
hex6d4481f26988

120141005351304 has 128 divisors (see below), whose sum is σ = 355229950464000. Its totient is φ = 33129897233664.

The previous prime is 120141005351303. The next prime is 120141005351329. The reversal of 120141005351304 is 403153500141021.

It is a super-2 number, since 2×1201410053513042 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120141005351303) 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, 8344117 + ... + 17604155.

It is an arithmetic number, because the mean of its divisors is an integer number (2775233988000).

Almost surely, 2120141005351304 is an apocalyptic number.

120141005351304 is a gapful number since it is divisible by the number (14) 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 120141005351304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177614975232000).

120141005351304 is an abundant number, since it is smaller than the sum of its proper divisors (235088945112696).

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

120141005351304 is a wasteful number, since it uses less digits than its factorization.

120141005351304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262747 (or 9262743 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 120141005351304 its reverse (403153500141021), we get a palindrome (523294505492325).

The spelling of 120141005351304 in words is "one hundred twenty trillion, one hundred forty-one billion, five million, three hundred fifty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 2663 4872 5326 7989 10652 15978 18641 21304 31956 37282 55923 63912 74564 77227 111846 149128 154454 223692 231681 308908 447384 463362 540589 617816 926724 1081178 1621767 1853448 2162356 3243534 4324712 6487068 9260039 12974136 18520078 27780117 37040156 55560234 64820273 74080312 111120468 129640546 194460819 222240936 259281092 268541131 388921638 518562184 537082262 777843276 805623393 1074164524 1555686552 1611246786 1879787917 2148329048 3222493572 3759575834 5639363751 6444987144 7519151668 11278727502 15038303336 22557455004 24659483857 45114910008 49318967714 73978451571 98637935428 147956903142 172616386999 197275870856 295913806284 345232773998 517849160997 591827612568 690465547996 715125031853 1035698321994 1380931095992 1430250063706 2071396643988 2145375095559 2860500127412 4142793287976 4290750191118 5005875222971 5721000254824 8581500382236 10011750445942 15017625668913 17163000764472 20023500891884 30035251337826 40047001783768 60070502675652 120141005351304