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3130300540544 = 27376197111159
BaseRepresentation
bin101101100011010100011…
…100111010011010000000
3102002020212000201120012012
4231203110130322122000
5402241323414244134
610354012404152052
7442104523401662
oct55432434723200
912066760646165
103130300540544
11aa760a059421
1242680b398628
13199255a61578
14ab716276532
155665db716ce
hex2d8d473a680

3130300540544 has 128 divisors (see below), whose sum is σ = 6516973065600. Its totient is φ = 1496207462400.

The previous prime is 3130300540541. The next prime is 3130300540571. The reversal of 3130300540544 is 4450450030313.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3130300540544.

It is not an unprimeable number, because it can be changed into a prime (3130300540541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 280512437 + ... + 280523595.

It is an arithmetic number, because the mean of its divisors is an integer number (50913852075).

Almost surely, 23130300540544 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 3130300540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258486532800).

3130300540544 is an abundant number, since it is smaller than the sum of its proper divisors (3386672525056).

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

3130300540544 is a wasteful number, since it uses less digits than its factorization.

3130300540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 12230 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 3130300540544 its reverse (4450450030313), we get a palindrome (7580750570857).

The spelling of 3130300540544 in words is "three trillion, one hundred thirty billion, three hundred million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 128 148 244 296 488 592 971 976 1184 1942 1952 2257 2368 3884 3904 4514 4736 7768 7808 9028 11159 15536 18056 22318 31072 35927 36112 44636 59231 62144 71854 72224 89272 118462 124288 143708 144448 178544 236924 287416 288896 357088 412883 473848 574832 680699 714176 825766 947696 1149664 1361398 1428352 1651532 1895392 2191547 2299328 2722796 3303064 3790784 4383094 4598656 5445592 6606128 7581568 8766188 10835389 10891184 13212256 17532376 21670778 21782368 25185863 26424512 35064752 43341556 43564736 50371726 52849024 70129504 86683112 87129472 100743452 140259008 173366224 201486904 280518016 346732448 400909393 402973808 660958729 693464896 801818786 805947616 1321917458 1386929792 1603637572 1611895232 2643834916 3207275144 3223790464 5287669832 6414550288 10575339664 12829100576 21150679328 24455472973 25658201152 42301358656 48910945946 51316402304 84602717312 97821891892 195643783784 391287567568 782575135136 1565150270272 3130300540544