Search a number
-
+
141018138384676 = 227219257409335999
BaseRepresentation
bin100000000100000101011000…
…000010111001100100100100
3200111022012110112020101012021
4200010011120002321210210
5121440420121411302201
61215530501034032524
741463136633542100
oct4004053002714444
9614265415211167
10141018138384676
1140a29502867aa3
1213996315278744
13608bc5179c827
1426b74586a4900
151148313343ea1
hex8041580b9924

141018138384676 has 144 divisors (see below), whose sum is σ = 303440074560000. Its totient is φ = 57017182666752.

The previous prime is 141018138384631. The next prime is 141018138384743. The reversal of 141018138384676 is 676483831810141.

It is a happy number.

It is a super-2 number, since 2×1410181383846762 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3917261325 + ... + 3917297323.

It is an arithmetic number, because the mean of its divisors is an integer number (2107222740000).

Almost surely, 2141018138384676 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 141018138384676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151720037280000).

141018138384676 is an abundant number, since it is smaller than the sum of its proper divisors (162421936175324).

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

141018138384676 is a wasteful number, since it uses less digits than its factorization.

141018138384676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40386 (or 40377 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 141018138384676 in words is "one hundred forty-one trillion, eighteen billion, one hundred thirty-eight million, three hundred eighty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 257 266 514 532 931 1028 1799 1862 3598 3724 4093 4883 7196 8186 9766 12593 16372 19532 25186 28651 34181 35999 50372 57302 68362 71998 77767 114604 136724 143996 155534 200557 239267 251993 311068 401114 478534 503986 544369 683981 802228 957068 1007972 1051901 1088738 1367962 1763951 2103802 2177476 2735924 3527902 3810583 4207604 4787867 7055804 7363307 7621166 9251743 9575734 14726614 15242332 18503486 19151468 19986119 29453228 33515069 37006972 39972238 51543149 64762201 67030138 79944476 103086298 129524402 134060276 139902833 147343907 175783117 206172596 259048804 279805666 294687814 351566234 453335407 559611332 589375628 703132468 906670814 979319831 1031407349 1230481819 1813341628 1958639662 2062814698 2460963638 2799534233 3917279324 4125629396 4921927276 5599068466 7219851443 8613372733 11198136932 14439702886 17226745466 19596739631 28879405772 34453490932 37867384099 39193479262 75734768198 78386958524 137177177417 151469536396 265071688693 274354354834 530143377386 548708709668 719480297881 1060286754772 1438960595762 1855501820851 2877921191524 3711003641702 5036362085167 7422007283404 10072724170334 20145448340668 35254534596169 70509069192338 141018138384676