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4019197344 = 2531073731049
BaseRepresentation
bin1110111110010000…
…0001010110100000
3101101002211101020220
43233210001112200
531212403303334
61502453203040
7201412420341
oct35744012640
911332741226
104019197344
1117828064a8
12942030480
134c08b36a6
142a1b100c8
15187cb8449
hexef9015a0

4019197344 has 96 divisors (see below), whose sum is σ = 10687723200. Its totient is φ = 1322391552.

The previous prime is 4019197309. The next prime is 4019197367. The reversal of 4019197344 is 4437919104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4019197296 and 4019197305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3830932 + ... + 3831980.

It is an arithmetic number, because the mean of its divisors is an integer number (111330450).

Almost surely, 24019197344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4019197344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343861600).

4019197344 is an abundant number, since it is smaller than the sum of its proper divisors (6668525856).

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

4019197344 is a wasteful number, since it uses less digits than its factorization.

4019197344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 4019197344 is about 63397.1398723949. The cubic root of 4019197344 is about 1589.9364904817.

The spelling of 4019197344 in words is "four billion, nineteen million, one hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 373 428 642 746 856 1049 1119 1284 1492 1712 2098 2238 2568 2984 3147 3424 4196 4476 5136 5968 6294 8392 8952 10272 11936 12588 16784 17904 25176 33568 35808 39911 50352 79822 100704 112243 119733 159644 224486 239466 319288 336729 391277 448972 478932 638576 673458 782554 897944 957864 1173831 1277152 1346916 1565108 1795888 1915728 2347662 2693832 3130216 3591776 3831456 4695324 5387664 6260432 9390648 10775328 12520864 18781296 37562592 41866639 83733278 125599917 167466556 251199834 334933112 502399668 669866224 1004799336 1339732448 2009598672 4019197344