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1371401604144 = 24321113312148347
BaseRepresentation
bin10011111101001101111…
…001111100110000110000
311212002211100001202112100
4103331031321330300300
5134432112302313034
62530002503500400
7201036416204445
oct23751571746060
94762740052470
101371401604144
114896764a91a0
121a1953757700
139c426a32750
144a53a3ad9cc
1525a175e6099
hex13f4de7cc30

1371401604144 has 240 divisors, whose sum is σ = 4654456095744. Its totient is φ = 371234188800.

The previous prime is 1371401604109. The next prime is 1371401604163. The reversal of 1371401604144 is 4414061041731.

1371401604144 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 4 + 0 + 1 + 604 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1371401604099 and 1371401604108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435822 + ... + 1712525.

Almost surely, 21371401604144 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 1371401604144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327228047872).

1371401604144 is an abundant number, since it is smaller than the sum of its proper divisors (3283054491600).

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

1371401604144 is a wasteful number, since it uses less digits than its factorization.

1371401604144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148416 (or 2148407 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 1371401604144 its reverse (4414061041731), we get a palindrome (5785462645875).

The spelling of 1371401604144 in words is "one trillion, three hundred seventy-one billion, four hundred one million, six hundred four thousand, one hundred forty-four".