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1401981280 = 25571379137
BaseRepresentation
bin101001110010000…
…1000100101100000
310121201002000202121
41103210020211200
510332401400110
6351041154024
746512433660
oct12344104540
93551060677
101401981280
1165a422317
1233162b914
131945c352b
14d42aa1a0
1583136cda
hex53908960

1401981280 has 96 divisors (see below), whose sum is σ = 3813397056. Its totient is φ = 477118464.

The previous prime is 1401981247. The next prime is 1401981341. The reversal of 1401981280 is 821891041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148872 + ... + 158008.

It is an arithmetic number, because the mean of its divisors is an integer number (39722886).

Almost surely, 21401981280 is an apocalyptic number.

1401981280 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 1401981280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906698528).

1401981280 is an abundant number, since it is smaller than the sum of its proper divisors (2411415776).

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

1401981280 is a wasteful number, since it uses less digits than its factorization.

1401981280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 1401981280 is about 37443.0404748332. The cubic root of 1401981280 is about 1119.2164161961.

The spelling of 1401981280 in words is "one billion, four hundred one million, nine hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 137 140 160 224 274 280 548 560 685 959 1096 1120 1370 1918 2192 2740 3836 4384 4795 5480 7672 9137 9590 10960 15344 18274 19180 21920 30688 36548 38360 45685 63959 73096 76720 91370 127918 146192 153440 182740 255836 292384 319795 365480 511672 639590 730960 1023344 1251769 1279180 1461920 2046688 2503538 2558360 5007076 5116720 6258845 8762383 10014152 10233440 12517690 17524766 20028304 25035380 35049532 40056608 43811915 50070760 70099064 87623830 100141520 140198128 175247660 200283040 280396256 350495320 700990640 1401981280