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423141101016 = 2331931167179243
BaseRepresentation
bin1100010100001010010…
…11001100110111011000
31111110012102122002210020
412022011023030313120
523413043110213031
6522215514150440
742366555004554
oct6120513146730
91443172562706
10423141101016
111534a9136077
126a011122420
1330b95a01a1a
14166a1700864
15b0182cb096
hex62852ccdd8

423141101016 has 128 divisors (see below), whose sum is σ = 1156338892800. Its totient is φ = 128538023040.

The previous prime is 423141100981. The next prime is 423141101023. The reversal of 423141101016 is 610101141324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2271091 + ... + 2450333.

It is an arithmetic number, because the mean of its divisors is an integer number (9033897600).

Almost surely, 2423141101016 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 423141101016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578169446400).

423141101016 is an abundant number, since it is smaller than the sum of its proper divisors (733197791784).

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

423141101016 is a wasteful number, since it uses less digits than its factorization.

423141101016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179469 (or 179465 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 423141101016 in words is "four hundred twenty-three billion, one hundred forty-one million, one hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 167 186 228 248 334 372 456 501 589 668 744 1002 1178 1336 1767 2004 2356 3173 3534 4008 4712 5177 6346 7068 9519 10354 12692 14136 15531 19038 20708 25384 31062 38076 41416 62124 76152 98363 124248 179243 196726 295089 358486 393452 537729 590178 716972 786904 1075458 1180356 1433944 2150916 2360712 3405617 4301832 5556533 6811234 10216851 11113066 13622468 16669599 20433702 22226132 27244936 29933581 33339198 40867404 44452264 59867162 66678396 81734808 89800743 105574127 119734324 133356792 179601486 211148254 239468648 316722381 359202972 422296508 568738039 633444762 718405944 844593016 927941011 1137476078 1266889524 1706214117 1855882022 2274952156 2533779048 2783823033 3412428234 3711764044 4549904312 5567646066 6824856468 7423528088 11135292132 13649712936 17630879209 22270584264 35261758418 52892637627 70523516836 105785275254 141047033672 211570550508 423141101016