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1400403144 = 23373311547
BaseRepresentation
bin101001101111000…
…0111010011001000
310121121002211222010
41103132013103020
510332000400034
6350543255520
746463142000
oct12336072310
93547084863
101400403144
11659544678
12330baa5a0
1319419011a
14d3db9000
1582e243e9
hex537874c8

1400403144 has 128 divisors (see below), whose sum is σ = 4103424000. Its totient is φ = 398099520.

The previous prime is 1400403133. The next prime is 1400403157. The reversal of 1400403144 is 4413040041.

It is a super-2 number, since 2×14004031442 = 3922257931450169472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1400403144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2559879 + ... + 2560425.

It is an arithmetic number, because the mean of its divisors is an integer number (32058000).

Almost surely, 21400403144 is an apocalyptic number.

1400403144 is a gapful number since it is divisible by the number (14) 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 1400403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051712000).

1400403144 is an abundant number, since it is smaller than the sum of its proper divisors (2703020856).

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

1400403144 is a wasteful number, since it uses less digits than its factorization.

1400403144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1400403144 is about 37421.9607182734. The cubic root of 1400403144 is about 1118.7963109987.

Adding to 1400403144 its reverse (4413040041), we get a palindrome (5813443185).

The spelling of 1400403144 in words is "one billion, four hundred million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 311 343 392 547 588 622 686 933 1029 1094 1176 1244 1372 1641 1866 2058 2177 2188 2488 2744 3282 3732 3829 4116 4354 4376 6531 6564 7464 7658 8232 8708 11487 13062 13128 15239 15316 17416 22974 26124 26803 30478 30632 45717 45948 52248 53606 60956 80409 91434 91896 106673 107212 121912 160818 170117 182868 187621 213346 214424 320019 321636 340234 365736 375242 426692 510351 562863 640038 643272 680468 750484 853384 1020702 1125726 1190819 1280076 1360936 1500968 2041404 2251452 2381638 2560152 3572457 4082808 4502904 4763276 7144914 8335733 9526552 14289828 16671466 25007199 28579656 33342932 50014398 58350131 66685864 100028796 116700262 175050393 200057592 233400524 350100786 466801048 700201572 1400403144