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243121243440 = 24352416136857
BaseRepresentation
bin1110001001101100100…
…1111100010100110000
3212020112112111211001210
43202123021330110300
512440403014242230
6303404404000120
723364525320625
oct3423311742460
9766475454053
10243121243440
119411a670679
123b150990040
1319c06c26b3a
14baa501634c
1564cde9deb0
hex389b27c530

243121243440 has 160 divisors (see below), whose sum is σ = 758148278976. Its totient is φ = 64448593920.

The previous prime is 243121243397. The next prime is 243121243447. The reversal of 243121243440 is 44342121342.

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

It is a junction number, because it is equal to n+sod(n) for n = 243121243398 and 243121243407.

It is not an unprimeable number, because it can be changed into a prime (243121243447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35452492 + ... + 35459348.

Almost surely, 2243121243440 is an apocalyptic number.

243121243440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243121243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379074139488).

243121243440 is an abundant number, since it is smaller than the sum of its proper divisors (515027035536).

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

243121243440 is a wasteful number, since it uses less digits than its factorization.

243121243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7727 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 243121243440 its reverse (44342121342), we get a palindrome (287463364782).

The spelling of 243121243440 in words is "two hundred forty-three billion, one hundred twenty-one million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 613 723 964 1205 1226 1446 1839 1928 2410 2452 2892 3065 3615 3678 3856 4820 4904 5784 6130 6857 7230 7356 9195 9640 9808 11568 12260 13714 14460 14712 18390 19280 20571 24520 27428 28920 29424 34285 36780 41142 49040 54856 57840 68570 73560 82284 102855 109712 137140 147120 147733 164568 205710 274280 295466 329136 411420 443199 548560 590932 738665 822840 886398 1181864 1477330 1645680 1652537 1772796 2215995 2363728 2954660 3305074 3545592 4203341 4431990 4957611 5909320 6610148 7091184 8262685 8406682 8863980 9915222 11818640 12610023 13220296 16525370 16813364 17727960 19830444 21016705 24788055 25220046 26440592 33050740 33626728 35455920 39660888 42033410 49576110 50440092 63050115 66101480 67253456 79321776 84066820 99152220 100880184 126100230 132202960 168133640 198304440 201760368 252200460 336267280 396608880 504400920 1008801840 1013005181 2026010362 3039015543 4052020724 5065025905 6078031086 8104041448 10130051810 12156062172 15195077715 16208082896 20260103620 24312124344 30390155430 40520207240 48624248688 60780310860 81040414480 121560621720 243121243440