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137100266240 = 285715301369
BaseRepresentation
bin111111110101111010…
…0000000101100000000
3111002212202100010211112
41333223310000230000
54221240132004430
6142552154302452
712622321015010
oct1775364005400
9432782303745
10137100266240
1153164587263
12226a2727a28
13cc0bbb54c2
1468c8485c40
153876386195
hex1febd00b00

137100266240 has 72 divisors (see below), whose sum is σ = 375312003360. Its totient is φ = 47005802496.

The previous prime is 137100266239. The next prime is 137100266287. The reversal of 137100266240 is 42662001731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137100266197 and 137100266206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7641725 + ... + 7659644.

Almost surely, 2137100266240 is an apocalyptic number.

137100266240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137100266240 is an abundant number, since it is smaller than the sum of its proper divisors (238211737120).

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

137100266240 is an equidigital number, since it uses as much as digits as its factorization.

137100266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301397 (or 15301383 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 137100266240 its reverse (42662001731), we get a palindrome (179762267971).

The spelling of 137100266240 in words is "one hundred thirty-seven billion, one hundred million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 15301369 30602738 61205476 76506845 107109583 122410952 153013690 214219166 244821904 306027380 428438332 489643808 535547915 612054760 856876664 979287616 1071095830 1224109520 1713753328 1958575232 2142191660 2448219040 3427506656 3917150464 4284383320 4896438080 6855013312 8568766640 9792876160 13710026624 17137533280 19585752320 27420053248 34275066560 68550133120 137100266240