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414142165156530 = 2351937327570493
BaseRepresentation
bin101111000101010001111110…
…0101001000000001010110010
32000022100121022120000022001010
41132022203330221000022302
5413240301123240002110
64024450141214451350
7153142532632231056
oct13612437451001262
92008317276008033
10414142165156530
1110aa5a784626588
123a547639203b56
1314a115917b58a5
14743a832ab1c66
1532d2bc4d86020
hex178a8fca402b2

414142165156530 has 128 divisors (see below), whose sum is σ = 1063524086311680. Its totient is φ = 103192160841216.

The previous prime is 414142165156523. The next prime is 414142165156567. The reversal of 414142165156530 is 35651561241414.

It is a self number, because there is not a number n which added to its sum of digits gives 414142165156530.

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, 1235964 + ... + 28806456.

It is an arithmetic number, because the mean of its divisors is an integer number (8308781924310).

Almost surely, 2414142165156530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414142165156530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531762043155840).

414142165156530 is an abundant number, since it is smaller than the sum of its proper divisors (649381921155150).

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

414142165156530 is a wasteful number, since it uses less digits than its factorization.

414142165156530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27570633 (or 27570595 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 414142165156530 in words is "four hundred fourteen trillion, one hundred forty-two billion, one hundred sixty-five million, one hundred fifty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 73 95 114 146 190 219 285 361 365 438 570 722 730 1083 1095 1387 1805 2166 2190 2774 3610 4161 5415 6859 6935 8322 10830 13718 13870 20577 20805 26353 34295 41154 41610 52706 68590 79059 102885 131765 158118 205770 263530 395295 500707 790590 1001414 1502121 2503535 3004242 5007070 7510605 15021210 27570493 55140986 82711479 137852465 165422958 275704930 413557395 523839367 827114790 1047678734 1571518101 2012645989 2619196835 3143036202 4025291978 5238393670 6037937967 7857590505 9952947973 10063229945 12075875934 15715181010 19905895946 20126459890 29858843919 30189689835 38240273791 49764739865 59717687838 60379379670 76480547582 99529479730 114720821373 149294219595 189106011487 191201368955 229441642746 298588439190 378212022974 382402737910 567318034461 573604106865 726565202029 945530057435 1134636068922 1147208213730 1453130404058 1891060114870 2179695606087 2836590172305 3632826010145 4359391212174 5673180344610 7265652020290 10898478030435 13804738838551 21796956060870 27609477677102 41414216515653 69023694192755 82828433031306 138047388385510 207071082578265 414142165156530