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142321542012441 = 331119101293852259
BaseRepresentation
bin100000010111000011010000…
…111101001001111000011001
3200122220210202222010000222000
4200113003100331021320121
5122123244004223344231
61222405340325151213
741656251325560501
oct4027032075117031
9618823688100860
10142321542012441
11413912551730a0
1213b66a5055b509
136154b2ca9009c
142720583cc2a01
15116c19ae8b6e6
hex8170d0f49e19

142321542012441 has 128 divisors (see below), whose sum is σ = 245352699648000. Its totient is φ = 80630424864000.

The previous prime is 142321542012409. The next prime is 142321542012577. The reversal of 142321542012441 is 144210245123241.

142321542012441 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 1 + 5 + 4 + 201 + 2 + 441 = 666.

It is not a de Polignac number, because 142321542012441 - 25 = 142321542012409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 142321542012396 and 142321542012405.

It is not an unprimeable number, because it can be changed into a prime (142321542012341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166567170 + ... + 167419428.

It is an arithmetic number, because the mean of its divisors is an integer number (1916817966000).

Almost surely, 2142321542012441 is an apocalyptic number.

142321542012441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142321542012441 is a deficient number, since it is larger than the sum of its proper divisors (103031157635559).

142321542012441 is a wasteful number, since it uses less digits than its factorization.

142321542012441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852692 (or 852686 counting only the distinct ones).

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

Adding to 142321542012441 its reverse (144210245123241), we get a palindrome (286531787135682).

The spelling of 142321542012441 in words is "one hundred forty-two trillion, three hundred twenty-one billion, five hundred forty-two million, twelve thousand, four hundred forty-one".

Divisors: 1 3 9 11 19 27 33 57 99 101 171 209 293 297 303 513 627 879 909 1111 1881 1919 2637 2727 3223 3333 5567 5643 5757 7911 9669 9999 16701 17271 21109 29007 29593 29997 50103 51813 61237 63327 87021 88779 150309 183711 189981 266337 325523 551133 562267 569943 799011 852259 976569 1653399 1686801 2556777 2929707 5060403 6184937 7670331 8789121 9374849 15181209 16192921 18554811 23010993 28124547 48578763 55664433 84373641 86078159 145736289 166993299 178122131 249711887 253120923 258234477 437208867 534366393 749135661 774703431 946859749 1603099179 1635485021 2247406983 2324110293 2746830757 2840579247 4744525853 4809297537 4906455063 6742220949 8240492271 8521737741 14233577559 14719365189 17990335231 24721476813 25220900587 25565213223 42700732677 44158095567 52189784383 53971005693 74164430439 75662701761 128102198031 156569353149 161913017079 226988105283 277429906457 469708059447 479197111153 485739051237 680964315849 832289719371 1409124178341 1437591333459 2496869158113 4312774000377 5271168222683 7490607474339 12938322001131 15813504668049 47440514004147 142321542012441