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40289561532 = 223211834612659
BaseRepresentation
bin100101100001011100…
…011110101110111100
310211222211220210020200
4211201130132232330
51130003111432112
630301521043500
72624261423343
oct454134365674
9124884823220
1040289561532
11160a54529a0
127984a86590
133a5106704c
141d42c24b5a
1510ac132cdc
hex96171ebbc

40289561532 has 144 divisors (see below), whose sum is σ = 112726373760. Its totient is φ = 12031171200.

The previous prime is 40289561489. The next prime is 40289561549. The reversal of 40289561532 is 23516598204.

40289561532 is a `hidden beast` number, since 4 + 0 + 2 + 89 + 561 + 5 + 3 + 2 = 666.

It is a congruent number.

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, 15150819 + ... + 15153477.

It is an arithmetic number, because the mean of its divisors is an integer number (782822040).

Almost surely, 240289561532 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 40289561532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363186880).

40289561532 is an abundant number, since it is smaller than the sum of its proper divisors (72436812228).

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

40289561532 is a wasteful number, since it uses less digits than its factorization.

40289561532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40289561532 in words is "forty billion, two hundred eighty-nine million, five hundred sixty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 461 498 747 913 922 996 1383 1494 1826 1844 2659 2739 2766 2988 3652 4149 5071 5318 5478 5532 7977 8217 8298 10142 10636 10956 15213 15954 16434 16596 20284 23931 29249 30426 31908 32868 38263 45639 47862 58498 60852 76526 87747 91278 95724 114789 116996 153052 175494 182556 220697 229578 263241 344367 350988 420893 441394 459156 526482 662091 688734 841786 882788 1052964 1225799 1262679 1324182 1377468 1683572 1986273 2427667 2451598 2525358 2648364 3677397 3788037 3972546 4855334 4903196 5050716 7283001 7354794 7576074 7945092 9710668 11032191 13483789 14566002 14709588 15152148 21849003 22064382 26967578 29132004 40451367 43698006 44128764 53935156 80902734 87396012 101741317 121354101 161805468 203482634 242708202 305223951 406965268 485416404 610447902 915671853 1119154487 1220895804 1831343706 2238308974 3357463461 3662687412 4476617948 6714926922 10072390383 13429853844 20144780766 40289561532