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134142347724 = 223711223573817
BaseRepresentation
bin111110011101110000…
…0011100100111001100
3110211020121111022102220
41330323200130213030
54144210420111344
6141342452015340
712456113066610
oct1747340344714
9424217438386
10134142347724
1151986949300
1221bb8001550
13c85a146068
1466c76b5340
153751855c19
hex1f3b81c9cc

134142347724 has 144 divisors (see below), whose sum is σ = 410284460544. Its totient is φ = 33327233280.

The previous prime is 134142347719. The next prime is 134142347753. The reversal of 134142347724 is 427743241431.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53137 + ... + 520680.

Almost surely, 2134142347724 is an apocalyptic number.

134142347724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134142347724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205142230272).

134142347724 is an abundant number, since it is smaller than the sum of its proper divisors (276142112820).

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

134142347724 is a wasteful number, since it uses less digits than its factorization.

134142347724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573876 (or 573863 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The spelling of 134142347724 in words is "one hundred thirty-four billion, one hundred forty-two million, three hundred forty-seven thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 121 132 138 154 161 231 242 253 276 308 322 363 462 483 484 506 644 726 759 847 924 966 1012 1452 1518 1694 1771 1932 2541 2783 3036 3388 3542 5082 5313 5566 7084 8349 10164 10626 11132 16698 19481 21252 33396 38962 58443 77924 116886 233772 573817 1147634 1721451 2295268 3442902 4016719 6311987 6885804 8033438 12050157 12623974 13197791 16066876 18935961 24100314 25247948 26395582 37871922 39593373 44183909 48200628 52791164 69431857 75743844 79186746 88367818 92384537 132551727 138863714 145175701 158373492 176735636 184769074 208295571 265103454 277153611 277727428 290351402 369538148 416591142 435527103 486022999 530206908 554307222 580702804 833182284 871054206 972045998 1016229907 1108614444 1458068997 1596932711 1742108412 1944091996 2032459814 2916137994 3048689721 3193865422 4064919628 4790798133 5832275988 6097379442 6387730844 9581596266 11178528977 12194758884 19163192532 22357057954 33535586931 44714115908 67071173862 134142347724