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23140431350040 = 23351743263798807
BaseRepresentation
bin1010100001011110011010…
…01100001100100100011000
310000221012111110002111212110
411100233031030030210120
511013113100411200130
6121114322320512320
74605561314040414
oct520571514144430
9100835443074773
1023140431350040
117411890255594
12271892b77b6a0
13cbb196b72824
145a0007b87d44
152a1e08103ab0
hex150bcd30c918

23140431350040 has 128 divisors (see below), whose sum is σ = 75214316136960. Its totient is φ = 5672729524224.

The previous prime is 23140431349979. The next prime is 23140431350059. The reversal of 23140431350040 is 4005313404132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131811684 + ... + 131987123.

It is an arithmetic number, because the mean of its divisors is an integer number (587611844820).

Almost surely, 223140431350040 is an apocalyptic number.

23140431350040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23140431350040 is an abundant number, since it is smaller than the sum of its proper divisors (52073884786920).

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

23140431350040 is a wasteful number, since it uses less digits than its factorization.

23140431350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263798881 (or 263798877 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 23140431350040 its reverse (4005313404132), we get a palindrome (27145744754172).

The spelling of 23140431350040 in words is "twenty-three trillion, one hundred forty billion, four hundred thirty-one million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 43 51 60 68 85 86 102 120 129 136 170 172 204 215 255 258 340 344 408 430 510 516 645 680 731 860 1020 1032 1290 1462 1720 2040 2193 2580 2924 3655 4386 5160 5848 7310 8772 10965 14620 17544 21930 29240 43860 87720 263798807 527597614 791396421 1055195228 1318994035 1582792842 2110390456 2637988070 3165585684 3956982105 4484579719 5275976140 6331171368 7913964210 8969159438 10551952280 11343348701 13453739157 15827928420 17938318876 22422898595 22686697402 26907478314 31655856840 34030046103 35876637752 44845797190 45373394804 53814956628 56716743505 67268695785 68060092206 89691594380 90746789608 107629913256 113433487010 134537391570 136120184412 170150230515 179383188760 192836927917 226866974020 269074783140 272240368824 340300461030 385673855834 453733948040 538149566280 578510783751 680600922060 771347711668 964184639585 1157021567502 1361201844120 1542695423336 1928369279170 2314043135004 2892553918755 3856738558340 4628086270008 5785107837510 7713477116680 11570215675020 23140431350040