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45415102120000 = 26541296787559
BaseRepresentation
bin10100101001110000001110…
…00001111000000001000000
312221210122022112220200201021
422110320013001320001000
521423040112120320000
6240331224311515224
712365063365441234
oct1224700701700100
9187718275820637
1045415102120000
111351a4891a5238
125115901988b14
131c45819a1c832
14b30161a2c5c4
1553b53eabe11a
hex294e07078040

45415102120000 has 140 divisors (see below), whose sum is σ = 112624664320960. Its totient is φ = 18164432448000.

The previous prime is 45415102119991. The next prime is 45415102120051. The reversal of 45415102120000 is 2120151454.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 518636221 + ... + 518723779.

Almost surely, 245415102120000 is an apocalyptic number.

45415102120000 is a gapful number since it is divisible by the number (40) 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 45415102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56312332160480).

45415102120000 is an abundant number, since it is smaller than the sum of its proper divisors (67209562200960).

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

45415102120000 is an equidigital number, since it uses as much as digits as its factorization.

45415102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100558 (or 100533 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 45415102120000 its reverse (2120151454), we get a palindrome (45417222271454).

The spelling of 45415102120000 in words is "forty-five trillion, four hundred fifteen billion, one hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 12967 20000 25934 40000 51868 64835 87559 103736 129670 175118 207472 259340 324175 350236 414944 437795 518680 648350 700472 829888 875590 1037360 1296700 1400944 1620875 1751180 2074720 2188975 2593400 2801888 3241750 3502360 4149440 4377950 5186800 5603776 6483500 7004720 8104375 8755900 10373600 10944875 12967000 14009440 16208750 17511800 20747200 21889750 25934000 28018880 32417500 35023600 43779500 51868000 54724375 64835000 70047200 87559000 103736000 109448750 129670000 140094400 175118000 218897500 259340000 350236000 437795000 518680000 700472000 875590000 1135377553 1751180000 2270755106 3502360000 4541510212 5676887765 9083020424 11353775530 18166040848 22707551060 28384438825 36332081696 45415102120 56768877650 72664163392 90830204240 113537755300 141922194125 181660408480 227075510600 283844388250 363320816960 454151021200 567688776500 709610970625 908302042400 1135377553000 1419221941250 1816604084800 2270755106000 2838443882500 4541510212000 5676887765000 9083020424000 11353775530000 22707551060000 45415102120000