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3345016430544 = 2433147307155797
BaseRepresentation
bin110000101011010010100…
…001000001111111010000
3102211210001221112220201120
4300223102201001333100
5414301043201234134
611040402423002240
7463445424346245
oct60532241017720
912753057486646
103345016430544
11107a682630588
12460353299380
131b3583aa3459
14b7c849435cc
155c028ed9649
hex30ad2841fd0

3345016430544 has 160 divisors (see below), whose sum is σ = 9139564363776. Its totient is φ = 1052632558080.

The previous prime is 3345016430533. The next prime is 3345016430557. The reversal of 3345016430544 is 4450346105433.

It is a super-2 number, since 2×33450164305442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3345016430496 and 3345016430505.

It is a congruent number.

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, 21392454 + ... + 21548250.

Almost surely, 23345016430544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345016430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569782181888).

3345016430544 is an abundant number, since it is smaller than the sum of its proper divisors (5794547933232).

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

3345016430544 is a wasteful number, since it uses less digits than its factorization.

3345016430544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156193 (or 156187 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 3345016430544 in words is "three trillion, three hundred forty-five billion, sixteen million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 307 372 376 496 564 614 744 752 921 1128 1228 1457 1488 1842 2256 2456 2914 3684 4371 4912 5828 7368 8742 9517 11656 14429 14736 17484 19034 23312 28551 28858 34968 38068 43287 57102 57716 69936 76136 86574 114204 115432 152272 155797 173148 228408 230864 311594 346296 447299 456816 467391 623188 692592 894598 934782 1246376 1341897 1789196 1869564 2492752 2683794 3578392 3739128 4829707 5367588 7156784 7322459 7478256 9659414 10735176 14489121 14644918 19318828 21470352 21967377 28978242 29289836 38637656 43934754 47829679 57956484 58579672 77275312 87869508 95659358 115912968 117159344 143489037 175739016 191318716 226996229 231825936 286978074 351478032 382637432 453992458 573956148 680988687 765274864 907984916 1147912296 1361977374 1482720049 1815969832 2247994913 2295824592 2723954748 2965440098 3631939664 4448160147 4495989826 5447909496 5930880196 6743984739 8896320294 8991979652 10895818992 11861760392 13487969478 17792640588 17983959304 23723520784 26975938956 35585281176 35967918608 53951877912 69687842303 71170562352 107903755824 139375684606 209063526909 278751369212 418127053818 557502738424 836254107636 1115005476848 1672508215272 3345016430544