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1357941157440 = 26357499940423
BaseRepresentation
bin10011110000101011100…
…110011010111001000000
311210211002020212012221020
4103300223212122321000
5134222030414014230
62515455103425440
7200052022250550
oct23605346327100
94724066765836
101357941157440
1148399942237a
1219b2178b5280
139b09014709a
1449a20827160
15254caa40810
hex13c2b99ae40

1357941157440 has 224 divisors, whose sum is σ = 4928494080000. Its totient is φ = 310316783616.

The previous prime is 1357941157411. The next prime is 1357941157451. The reversal of 1357941157440 is 447511497531.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33573069 + ... + 33613491.

Almost surely, 21357941157440 is an apocalyptic number.

1357941157440 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 1357941157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464247040000).

1357941157440 is an abundant number, since it is smaller than the sum of its proper divisors (3570552922560).

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

1357941157440 is a wasteful number, since it uses less digits than its factorization.

1357941157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45449 (or 45439 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 1357941157440 in words is "one trillion, three hundred fifty-seven billion, nine hundred forty-one million, one hundred fifty-seven thousand, four hundred forty".