Search a number
-
+
1391444920400 = 245217373954727
BaseRepresentation
bin10100001111111000100…
…101001000100001010000
311221000120012002201111212
4110033320211020201100
5140244134344423100
62543115421355252
7202346205451013
oct24177045104120
94830505081455
101391444920400
11497121423377
121a5808108b28
13a129c3954b2
144b4bc32d37a
15262dc06b635
hex143f8948850

1391444920400 has 120 divisors (see below), whose sum is σ = 3540601690560. Its totient is φ = 523688417280.

The previous prime is 1391444920399. The next prime is 1391444920409. The reversal of 1391444920400 is 40294441931.

It is a super-2 number, since 2×13914449204002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1391444920409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25397837 + ... + 25452563.

It is an arithmetic number, because the mean of its divisors is an integer number (29505014088).

Almost surely, 21391444920400 is an apocalyptic number.

1391444920400 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 1391444920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770300845280).

1391444920400 is an abundant number, since it is smaller than the sum of its proper divisors (2149156770160).

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

1391444920400 is a wasteful number, since it uses less digits than its factorization.

1391444920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58501 (or 58490 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 1391444920400 in words is "one trillion, three hundred ninety-one billion, four hundred forty-four million, nine hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 3739 6800 7478 14956 18695 29912 37390 54727 59824 63563 74780 93475 109454 127126 149560 186950 218908 254252 273635 299120 317815 373900 437816 508504 547270 635630 747800 875632 930359 1017008 1094540 1271260 1368175 1495600 1589075 1860718 2189080 2542520 2736350 3178150 3721436 4378160 4651795 5085040 5472700 6356300 7442872 9303590 10945400 12712600 14885744 18607180 21890800 23258975 25425200 37214360 46517950 74428720 93035900 186071800 204624253 372143600 409248506 818497012 1023121265 1636994024 2046242530 3273988048 3478612301 4092485060 5115606325 6957224602 8184970120 10231212650 13914449204 16369940240 17393061505 20462425300 27828898408 34786123010 40924850600 55657796816 69572246020 81849701200 86965307525 139144492040 173930615050 278288984080 347861230100 695722460200 1391444920400