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13378414997400 = 233521493232
BaseRepresentation
bin1100001010101110011110…
…1011000110111110011000
31202100222000202002011012120
43002223213223012332120
53223142443214404100
644241543051141240
72550362411120565
oct302534753067630
952328022064176
1013378414997400
114298832545172
1216009b0144820
1376076b43746b
143437395d386c
1518300b0c90a0
hexc2ae7ac6f98

13378414997400 has 72 divisors (see below), whose sum is σ = 41473364234580. Its totient is φ = 3567553440960.

The previous prime is 13378414997369. The next prime is 13378414997443. The reversal of 13378414997400 is 479941487331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89519139 + ... + 89668461.

Almost surely, 213378414997400 is an apocalyptic number.

13378414997400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13378414997400 is an abundant number, since it is smaller than the sum of its proper divisors (28094949237180).

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

13378414997400 is an frugal number, since it uses more digits than its factorization.

13378414997400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298665 (or 149333 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 13378414997400 in words is "thirteen trillion, three hundred seventy-eight billion, four hundred fourteen million, nine hundred ninety-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 149323 298646 447969 597292 746615 895938 1194584 1493230 1791876 2239845 2986460 3583752 3733075 4479690 5972920 7466150 8959380 11199225 14932300 17918760 22398450 29864600 44796900 89593800 22297358329 44594716658 66892074987 89189433316 111486791645 133784149974 178378866632 222973583290 267568299948 334460374935 445947166580 535136599896 557433958225 668920749870 891894333160 1114867916450 1337841499740 1672301874675 2229735832900 2675682999480 3344603749350 4459471665800 6689207498700 13378414997400