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1404064464 = 2431129471951
BaseRepresentation
bin101001110110000…
…0101001011010000
310121211222212100120
41103230011023100
510333420030324
6351153550240
746536231255
oct12354051320
93554885316
101404064464
11660615460
12332275380
13194b7279a
14d468d42c
15833e9179
hex53b052d0

1404064464 has 160 divisors (see below), whose sum is σ = 4182589440. Its totient is φ = 401856000.

The previous prime is 1404064429. The next prime is 1404064513. The reversal of 1404064464 is 4644604041.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718689 + ... + 720639.

It is an arithmetic number, because the mean of its divisors is an integer number (26141184).

Almost surely, 21404064464 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 1404064464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091294720).

1404064464 is an abundant number, since it is smaller than the sum of its proper divisors (2778524976).

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

1404064464 is a wasteful number, since it uses less digits than its factorization.

1404064464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 1404064464 is about 37470.8481889588. The cubic root of 1404064464 is about 1119.7704844324.

It can be divided in two parts, 140 and 4064464, that added together give a palindrome (4064604).

The spelling of 1404064464 in words is "one billion, four hundred four million, sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 47 48 58 66 87 88 94 116 132 141 174 176 188 232 264 282 319 348 376 464 517 528 564 638 696 752 957 1034 1128 1276 1363 1392 1551 1914 1951 2068 2256 2552 2726 3102 3828 3902 4089 4136 5104 5452 5853 6204 7656 7804 8178 8272 10904 11706 12408 14993 15312 15608 16356 21461 21808 23412 24816 29986 31216 32712 42922 44979 46824 56579 59972 64383 65424 85844 89958 91697 93648 113158 119944 128766 169737 171688 179916 183394 226316 239888 257532 275091 339474 343376 359832 366788 452632 515064 550182 622369 678948 719664 733576 905264 1008667 1030128 1100364 1244738 1357896 1467152 1867107 2017334 2200728 2489476 2659213 2715792 3026001 3734214 4034668 4401456 4978952 5318426 6052002 7468428 7977639 8069336 9957904 10636852 12104004 14936856 15955278 16138672 21273704 24208008 29251343 29873712 31910556 42547408 48416016 58502686 63821112 87754029 117005372 127642224 175508058 234010744 351016116 468021488 702032232 1404064464