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141277664 = 2511331107
BaseRepresentation
bin10000110101110…
…11100111100000
3100211211122112002
420122323213200
5242131341124
622004023132
73333561143
oct1032734740
9324748462
10141277664
1172825000
123b391aa8
1323366a68
1414a9805a
15c60a0ae
hex86bb9e0

141277664 has 96 divisors (see below), whose sum is σ = 318753792. Its totient is φ = 61564800.

The previous prime is 141277651. The next prime is 141277691. The reversal of 141277664 is 466772141.

It is a happy number.

141277664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320299 + ... + 1320405.

It is an arithmetic number, because the mean of its divisors is an integer number (3320352).

Almost surely, 2141277664 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 141277664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159376896).

141277664 is an abundant number, since it is smaller than the sum of its proper divisors (177476128).

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

141277664 is a wasteful number, since it uses less digits than its factorization.

141277664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 141277664 is about 11886.0281002528. The cubic root of 141277664 is about 520.8242155858.

The spelling of 141277664 in words is "one hundred forty-one million, two hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 107 121 124 176 214 242 248 341 352 428 484 496 682 856 968 992 1177 1331 1364 1712 1936 2354 2662 2728 3317 3424 3751 3872 4708 5324 5456 6634 7502 9416 10648 10912 12947 13268 15004 18832 21296 25894 26536 30008 36487 37664 41261 42592 51788 53072 60016 72974 82522 103576 106144 120032 142417 145948 165044 207152 284834 291896 330088 401357 414304 569668 583792 660176 802714 1139336 1167584 1320352 1605428 2278672 3210856 4414927 4557344 6421712 8829854 12843424 17659708 35319416 70638832 141277664