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412024001130 = 23357456147797
BaseRepresentation
bin1011111111011101000…
…10110101001001101010
31110101111122211220201000
411333232202311021222
523222311121014010
6513140424135430
741524224136620
oct5775642651152
91411448756630
10412024001130
11149813897415
1267a2a007576
132cb13757501
1415d2906b510
15aab730a7c0
hex5fee8b526a

412024001130 has 128 divisors (see below), whose sum is σ = 1255993781760. Its totient is φ = 94154296320.

The previous prime is 412024001111. The next prime is 412024001143. The reversal of 412024001130 is 31100420214.

412024001130 is a `hidden beast` number, since 412 + 0 + 240 + 0 + 1 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8596392 + ... + 8644188.

It is an arithmetic number, because the mean of its divisors is an integer number (9812451420).

Almost surely, 2412024001130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412024001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627996890880).

412024001130 is an abundant number, since it is smaller than the sum of its proper divisors (843969780630).

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

412024001130 is a wasteful number, since it uses less digits than its factorization.

412024001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52381 (or 52375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 412024001130 its reverse (31100420214), we get a palindrome (443124421344).

The spelling of 412024001130 in words is "four hundred twelve billion, twenty-four million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 4561 9122 13683 22805 27366 31927 41049 45610 47797 63854 68415 82098 95594 95781 123147 136830 143391 159635 191562 205245 238985 246294 286782 287343 319270 334579 410490 430173 477970 478905 574686 615735 669158 716955 860346 862029 957810 1003737 1231470 1290519 1433910 1436715 1672895 1724058 2007474 2150865 2581038 2873430 3011211 3345790 4301730 4310145 5018685 6022422 6452595 8620290 9033633 10037370 12905190 15056055 18067266 30112110 45168165 90336330 218002117 436004234 654006351 1090010585 1308012702 1526014819 1962019053 2180021170 3052029638 3270031755 3924038106 4578044457 5886057159 6540063510 7630074095 9156088914 9810095265 11772114318 13734133371 15260148190 19620190530 22890222285 27468266742 29430285795 41202400113 45780444570 58860571590 68670666855 82404800226 137341333710 206012000565 412024001130