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20431041400434 = 2375373157979627
BaseRepresentation
bin1001010010100111110001…
…11101110000111001110010
32200100012002101220101212010
410221103320331300321302
510134220233044303214
6111241520231143350
74206044152332420
oct451237075607162
980305071811763
1020431041400434
116567835263a85
12235b80a514b56
13b5283c98b432
14508c20cb2110
152566d1a16659
hex1294f8f70e72

20431041400434 has 128 divisors (see below), whose sum is σ = 48263588259840. Its totient is φ = 5645195472384.

The previous prime is 20431041400421. The next prime is 20431041400453. The reversal of 20431041400434 is 43400414013402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256544529 + ... + 256624155.

It is an arithmetic number, because the mean of its divisors is an integer number (377059283280).

Almost surely, 220431041400434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20431041400434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131794129920).

20431041400434 is an abundant number, since it is smaller than the sum of its proper divisors (27832546859406).

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

20431041400434 is a wasteful number, since it uses less digits than its factorization.

20431041400434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81344.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20431041400434 its reverse (43400414013402), we get a palindrome (63831455413836).

The spelling of 20431041400434 in words is "twenty trillion, four hundred thirty-one billion, forty-one million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 53 73 106 146 159 219 318 371 438 511 742 1022 1113 1533 1579 2226 3066 3158 3869 4737 7738 9474 11053 11607 22106 23214 27083 33159 54166 66318 79627 81249 83687 115267 159254 162498 167374 230534 238881 251061 345801 477762 502122 557389 585809 691602 806869 1114778 1171618 1613738 1672167 1757427 2420607 3344334 3514854 4220231 4841214 5812771 6109151 8440462 11625542 12218302 12660693 17438313 18327453 25321386 29541617 34876626 36654906 40689397 42764057 59083234 81378794 85528114 88624851 122068191 125731033 128292171 177249702 244136382 251462066 256584342 308076863 377193099 616153726 754386198 880117231 924230589 1760234462 1848461178 2156538041 2640351693 4313076082 5280703386 6469614123 6663744749 9178365409 12939228246 13327489498 18356730818 19991234247 27535096227 39982468494 46646213243 55070192454 64248557863 93292426486 128497115726 139938639729 192745673589 279877279458 385491347178 486453366677 972906733354 1459360100031 2918720200062 3405173566739 6810347133478 10215520700217 20431041400434