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43142516130 = 23572912175821
BaseRepresentation
bin101000001011011111…
…101000110110100010
311010100200020220012210
4220023133220312202
51201323441004010
631452553502550
73055053223260
oct501337506642
9133320226183
1043142516130
1117329909a0a
128440411a56
1340b714546c
142133ab1430
1511c782cb20
hexa0b7e8da2

43142516130 has 128 divisors (see below), whose sum is σ = 122535866880. Its totient is φ = 9511649280.

The previous prime is 43142516107. The next prime is 43142516141. The reversal of 43142516130 is 3161524134.

43142516130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×431425161302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7408620 + ... + 7414440.

It is an arithmetic number, because the mean of its divisors is an integer number (957311460).

Almost surely, 243142516130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43142516130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61267933440).

43142516130 is an abundant number, since it is smaller than the sum of its proper divisors (79393350750).

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

43142516130 is a wasteful number, since it uses less digits than its factorization.

43142516130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 43142516130 in words is "forty-three billion, one hundred forty-two million, five hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1217 1218 2030 2434 3045 3651 5821 6085 6090 7302 8519 11642 12170 17038 17463 18255 25557 29105 34926 35293 36510 40747 42595 51114 58210 70586 81494 85190 87315 105879 122241 127785 168809 174630 176465 203735 211758 244482 247051 255570 337618 352930 407470 494102 506427 529395 611205 741153 844045 1012854 1058790 1181663 1222410 1235255 1482306 1688090 2363326 2470510 2532135 3544989 3705765 5064270 5908315 7084157 7089978 7411530 11816630 14168314 17724945 21252471 35420785 35449890 42504942 49589099 70841570 99178198 106262355 148767297 205440553 212524710 247945495 297534594 410881106 495890990 616321659 743836485 1027202765 1232643318 1438083871 1487672970 2054405530 2876167742 3081608295 4314251613 6163216590 7190419355 8628503226 14380838710 21571258065 43142516130