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131344473780 = 223351397192887
BaseRepresentation
bin111101001010010111…
…1011001111010110100
3110120000121210120221000
41322110233121322310
54122443141130110
6140201103523300
712326560414662
oct1722457317264
9416017716830
10131344473780
1150780593193
1221556bb9530
13c5025b1750
1464ddc85c32
15363addb1c0
hex1e94bd9eb4

131344473780 has 192 divisors, whose sum is σ = 444599124480. Its totient is φ = 31997472768.

The previous prime is 131344473773. The next prime is 131344473803. The reversal of 131344473780 is 87374443131.

It is a happy number.

131344473780 is a `hidden beast` number, since 1 + 3 + 134 + 447 + 3 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584497 + ... + 777383.

It is an arithmetic number, because the mean of its divisors is an integer number (2315620440).

Almost surely, 2131344473780 is an apocalyptic number.

131344473780 is a gapful number since it is divisible by the number (10) 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 131344473780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222299562240).

131344473780 is an abundant number, since it is smaller than the sum of its proper divisors (313254650700).

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

131344473780 is a wasteful number, since it uses less digits than its factorization.

131344473780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193015 (or 193007 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 131344473780 in words is "one hundred thirty-one billion, three hundred forty-four million, four hundred seventy-three thousand, seven hundred eighty".