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3542124246136 = 2372931411716059
BaseRepresentation
bin110011100010110111000…
…011101011010001111000
3110112121211201200102001221
4303202313003223101320
5431013232301334021
611311121315321424
7513624066213610
oct63426703532170
913477751612057
103542124246136
11114622a880833
124925a22b0274
131c9036b5a0b8
14c3622885a40
15622135b5241
hex338b70eb478

3542124246136 has 128 divisors (see below), whose sum is σ = 8302984704000. Its totient is φ = 1383829171200.

The previous prime is 3542124246077. The next prime is 3542124246139. The reversal of 3542124246136 is 6316424212453.

It is a super-3 number, since 3×35421242461363 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3542124246092 and 3542124246101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542124246139) 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, 1206075 + ... + 2922133.

It is an arithmetic number, because the mean of its divisors is an integer number (64867068000).

Almost surely, 23542124246136 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 3542124246136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151492352000).

3542124246136 is an abundant number, since it is smaller than the sum of its proper divisors (4760860457864).

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

3542124246136 is a wasteful number, since it uses less digits than its factorization.

3542124246136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716173 (or 1716169 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

Adding to 3542124246136 its reverse (6316424212453), we get a palindrome (9858548458589).

The spelling of 3542124246136 in words is "three trillion, five hundred forty-two billion, one hundred twenty-four million, two hundred forty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 29 31 41 56 58 62 82 116 124 164 203 217 232 248 287 328 406 434 574 812 868 899 1148 1189 1271 1624 1736 1798 2296 2378 2542 3596 4756 5084 6293 7192 8323 8897 9512 10168 12586 16646 17794 25172 33292 35588 36859 50344 66584 71176 73718 147436 258013 294872 516026 1032052 1716059 2064104 3432118 6864236 12012413 13728472 24024826 48049652 49765711 53197829 70358419 96099304 99531422 106395658 140716838 199062844 212791316 281433676 348359977 372384803 398125688 425582632 492508933 562867352 696719954 744769606 985017866 1393439908 1489539212 1542737041 1970035732 2040394151 2181110989 2786879816 2979078424 3085474082 3940071464 4080788302 4362221978 6170948164 8161576604 8724443956 10799159287 12341896328 14282759057 15267776923 16323153208 17448887912 21598318574 28565518114 30535553846 43196637148 57131036228 61071107692 63252218681 86393274296 114262072456 122142215384 126504437362 253008874724 442765530767 506017749448 885531061534 1771062123068 3542124246136