Search a number
-
+
31406628400 = 2452721602379
BaseRepresentation
bin11101001111111110…
…110001111000110000
310000001210010000210021
4131033332301320300
51003310044102100
622232241013224
72161166636200
oct351776617060
9100053100707
1031406628400
111235724a844
126106024214
132c669248b4
14173d1a4400
15c3c37ca1a
hex74ffb1e30

31406628400 has 90 divisors (see below), whose sum is σ = 87773569260. Its totient is φ = 10767980160.

The previous prime is 31406628373. The next prime is 31406628437. The reversal of 31406628400 is 482660413.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 781590 + ... + 820789.

Almost surely, 231406628400 is an apocalyptic number.

It is an amenable number.

31406628400 is an abundant number, since it is smaller than the sum of its proper divisors (56366940860).

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

31406628400 is a wasteful number, since it uses less digits than its factorization.

31406628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602411 (or 1602393 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 31406628400 in words is "thirty-one billion, four hundred six million, six hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 1602379 3204758 6409516 8011895 11216653 12819032 16023790 22433306 25638064 32047580 40059475 44866612 56083265 64095160 78516571 80118950 89733224 112166530 128190320 157033142 160237900 179466448 224333060 280416325 314066284 320475800 392582855 448666120 560832650 628132568 640951600 785165710 897332240 1121665300 1256265136 1570331420 1962914275 2243330600 3140662840 3925828550 4486661200 6281325680 7851657100 15703314200 31406628400