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4145312713542 = 23711131740599721
BaseRepresentation
bin111100010100100111111…
…001000100101101000110
3112200021202222012101120120
4330110213321010231012
51020404100023313132
612452155205442410
7605326466460150
oct74244771045506
915607688171516
104145312713542
111359020a60060
1256b480a10406
13240b94248ac0
141048c4391ad0
1572c6830402c
hex3c527e44b46

4145312713542 has 128 divisors (see below), whose sum is σ = 11786261695488. Its totient is φ = 935417548800.

The previous prime is 4145312713541. The next prime is 4145312713579. The reversal of 4145312713542 is 2453172135414.

It is a happy number.

4145312713542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4145312713494 and 4145312713503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145312713541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20197759 + ... + 20401962.

It is an arithmetic number, because the mean of its divisors is an integer number (92080169496).

Almost surely, 24145312713542 is an apocalyptic number.

4145312713542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4145312713542 is an abundant number, since it is smaller than the sum of its proper divisors (7640948981946).

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

4145312713542 is a wasteful number, since it uses less digits than its factorization.

4145312713542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40599774.

The product of its digits is 403200, while the sum is 42.

Adding to 4145312713542 its reverse (2453172135414), we get a palindrome (6598484848956).

The spelling of 4145312713542 in words is "four trillion, one hundred forty-five billion, three hundred twelve million, seven hundred thirteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 143 154 182 187 221 231 238 273 286 357 374 429 442 462 546 561 663 714 858 1001 1122 1309 1326 1547 2002 2431 2618 3003 3094 3927 4641 4862 6006 7293 7854 9282 14586 17017 34034 51051 102102 40599721 81199442 121799163 243598326 284198047 446596931 527796373 568396094 690195257 852594141 893193862 1055592746 1339790793 1380390514 1583389119 1705188282 2070585771 2679581586 3126178517 3166778238 3694574611 4141171542 4831366799 5805760103 6252357034 7389149222 7592147827 8972538341 9378535551 9662733598 11083723833 11611520206 14494100397 15184295654 17417280309 17945076682 18757071102 22167447666 22776443481 26917615023 28988200794 34834560618 40640320721 45552886962 53145034789 53835230046 62807768387 81280641442 98697921751 106290069578 121920962163 125615536774 159435104367 188423305161 197395843502 243841924326 296093765253 318870208734 376846610322 592187530506 690885452257 1381770904514 2072656356771 4145312713542