Search a number
-
+
4062400522544 = 2471316730754421
BaseRepresentation
bin111011000111011001111…
…100001010100100110000
3112101100202200021200112202
4323013121330022210300
51013024244013210134
612350124021442332
7566333033461610
oct73073174124460
915340680250482
104062400522544
111326944208861
125573a18703a8
1323610c995360
1410089a94aa40
1570a14338d7e
hex3b1d9f0a930

4062400522544 has 160 divisors (see below), whose sum is σ = 9777193552896. Its totient is φ = 1592247352320.

The previous prime is 4062400522541. The next prime is 4062400522549. The reversal of 4062400522544 is 4452250042604.

4062400522544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4062400522498 and 4062400522507.

It is not an unprimeable number, because it can be changed into a prime (4062400522541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74620454 + ... + 74674874.

Almost surely, 24062400522544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4062400522544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888596776448).

4062400522544 is an abundant number, since it is smaller than the sum of its proper divisors (5714793030352).

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

4062400522544 is a wasteful number, since it uses less digits than its factorization.

4062400522544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54923 (or 54917 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

The spelling of 4062400522544 in words is "four trillion, sixty-two billion, four hundred million, five hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 167 182 208 307 334 364 614 668 728 1169 1228 1336 1456 2149 2171 2338 2456 2672 3991 4298 4342 4676 4912 7982 8596 8684 9352 15197 15964 17192 17368 18704 27937 30394 31928 34384 34736 51269 54421 55874 60788 63856 102538 108842 111748 121576 205076 217684 223496 243152 358883 380947 410152 435368 446992 666497 707473 717766 761894 820304 870736 1332994 1414946 1435532 1523788 2665988 2829892 2871064 3047576 4665479 4952311 5331976 5659784 5742128 6095152 9088307 9330958 9904622 10663952 11319568 16707247 18176614 18661916 19809244 33414494 36353228 37323832 39618488 63618149 66828988 72706456 74647664 79236976 116950729 118147991 127236298 133657976 145412912 217194211 233901458 236295982 254472596 267315952 434388422 467802916 472591964 508945192 827035937 868776844 935605832 945183928 1017890384 1520359477 1654071874 1737553688 1871211664 1890367856 2790110249 3040718954 3308143748 3475107376 5580220498 6081437908 6616287496 11160440996 12162875816 13232574992 19530771743 22320881992 24325751632 36271433237 39061543486 44641763984 72542866474 78123086972 145085732948 156246173944 253900032659 290171465896 312492347888 507800065318 580342931792 1015600130636 2031200261272 4062400522544