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141404240006541 = 321723374723107001
BaseRepresentation
bin100000001001101100111101…
…011111101100110110001101
3200112200010001121112222121100
4200021230331133230312031
5122013231340420202131
61220424113331453313
741533055613303201
oct4011547537546615
9615603047488540
10141404240006541
11410682240a0176
1213a39109a57239
1360b949388ca85
1426cc004a84b01
1511533ae9ce7e6
hex809b3d7ecd8d

141404240006541 has 96 divisors (see below), whose sum is σ = 236698515975168. Its totient is φ = 80816085504000.

The previous prime is 141404240006503. The next prime is 141404240006569. The reversal of 141404240006541 is 145600042404141.

141404240006541 is a `hidden beast` number, since 1 + 4 + 1 + 404 + 240 + 0 + 0 + 6 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 141404240006541 - 213 = 141404239998349 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141404240006496 and 141404240006505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141404240008541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433960 + ... + 17673041.

It is an arithmetic number, because the mean of its divisors is an integer number (2465609541408).

Almost surely, 2141404240006541 is an apocalyptic number.

It is an amenable number.

141404240006541 is a deficient number, since it is larger than the sum of its proper divisors (95294275968627).

141404240006541 is a wasteful number, since it uses less digits than its factorization.

141404240006541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107131 (or 23107128 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 141404240006541 in words is "one hundred forty-one trillion, four hundred four billion, two hundred forty million, six thousand, five hundred forty-one".

Divisors: 1 3 9 17 23 37 47 51 69 111 141 153 207 333 391 423 629 799 851 1081 1173 1739 1887 2397 2553 3243 3519 5217 5661 7191 7659 9729 14467 15651 18377 29563 39997 43401 55131 88689 119991 130203 165393 266067 359973 679949 2039847 6119541 23107001 69321003 207963009 392819017 531461023 854959037 1086029047 1178457051 1594383069 2564877111 3258087141 3535371153 4783149207 7694631333 9034837391 9774261423 14534303629 18462493799 19664057851 24978668081 27104512173 40183074739 43602910887 55387481397 58992173553 74936004243 81313536519 120549224217 130808732661 166162444191 176976520659 224808012729 334288983467 361647672651 424637357377 683112270563 924210718997 1002866950401 1273912072131 2049336811689 2772632156991 3008600851203 3821736216393 6148010435067 8317896470973 15711582222949 47134746668847 141404240006541