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40305225023352 = 23331965951148913
BaseRepresentation
bin10010010101000010010101…
…00111101011111101111000
312021201010211102122201122000
421022201022213223331320
520240330100101221402
6221415544215501000
711326646022661332
oct1112411247537570
9167633742581560
1040305225023352
111192a393852793
12462b50a387760
1319649c6a60c63
149d4ad7536452
1549d670e80c1c
hex24a84a9ebf78

40305225023352 has 128 divisors (see below), whose sum is σ = 117854113536000. Its totient is φ = 12727687334400.

The previous prime is 40305225023321. The next prime is 40305225023381. The reversal of 40305225023352 is 25332052250304.

40305225023352 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 52 + 250 + 2 + 3 + 352 = 666.

It is a super-2 number, since 2×403052250233522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270588448 + ... + 270737360.

It is an arithmetic number, because the mean of its divisors is an integer number (920735262000).

Almost surely, 240305225023352 is an apocalyptic number.

It is an amenable number.

40305225023352 is an abundant number, since it is smaller than the sum of its proper divisors (77548888512648).

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

40305225023352 is a wasteful number, since it uses less digits than its factorization.

40305225023352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214898 (or 214888 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 40305225023352 its reverse (25332052250304), we get a palindrome (65637277273656).

The spelling of 40305225023352 in words is "forty trillion, three hundred five billion, two hundred twenty-five million, twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 65951 131902 148913 197853 263804 297826 395706 446739 527608 593559 595652 791412 893478 1187118 1191304 1253069 1340217 1582824 1780677 1786956 2374236 2506138 2680434 2829347 3561354 3573912 3759207 4020651 4748472 5012276 5360868 5658694 7122708 7518414 8041302 8488041 10024552 10721736 11277621 11317388 14245416 15036828 16082604 16976082 22555242 22634776 25464123 30073656 32165208 33832863 33952164 45110484 50928246 67665726 67904328 76392369 90220968 101856492 135331452 152784738 203712984 270662904 305569476 611138952 9820961263 19641922526 29462883789 39283845052 58925767578 78567690104 88388651367 117851535156 176777302734 186598263997 235703070312 265165954101 353554605468 373196527994 530331908202 559794791991 707109210936 746393055988 1060663816404 1119589583982 1492786111976 1679384375973 2121327632808 2239179167964 3358768751946 4478358335928 5038153127919 6717537503892 10076306255838 13435075007784 20152612511676 40305225023352