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42322532721400 = 23521136612833099
BaseRepresentation
bin10011001111101111110111…
…00001110110001011111000
312112211222212001222201212201
421213313323201312023320
521021403021334041100
6230002411512515544
711625462546331441
oct1147677341661370
9175758761881781
1042322532721400
1112537981414258
1248b64826abbb4
131a7ccc7c80379
14a645c88c02c8
154d5d8d66536a
hex267dfb8762f8

42322532721400 has 96 divisors (see below), whose sum is σ = 99420901722000. Its totient is φ = 16753808332800.

The previous prime is 42322532721367. The next prime is 42322532721407. The reversal of 42322532721400 is 412723522324.

It is a self number, because there is not a number n which added to its sum of digits gives 42322532721400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42322532721407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13522051 + ... + 16355149.

Almost surely, 242322532721400 is an apocalyptic number.

42322532721400 is a gapful number since it is divisible by the number (40) 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 42322532721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49710450861000).

42322532721400 is an abundant number, since it is smaller than the sum of its proper divisors (57098369000600).

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

42322532721400 is a wasteful number, since it uses less digits than its factorization.

42322532721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833889 (or 2833880 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 42322532721400 in words is "forty-two trillion, three hundred twenty-two billion, five hundred thirty-two million, seven hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 661 904 1130 1322 2260 2644 2825 3305 4520 5288 5650 6610 11300 13220 16525 22600 26440 33050 66100 74693 132200 149386 298772 373465 597544 746930 1493860 1867325 2833099 2987720 3734650 5666198 7469300 11332396 14165495 14938600 22664792 28330990 56661980 70827475 113323960 141654950 283309900 320140187 566619800 640280374 1280560748 1600700935 1872678439 2561121496 3201401870 3745356878 6402803740 7490713756 8003504675 9363392195 12805607480 14981427512 16007009350 18726784390 32014018700 37453568780 46816960975 64028037400 74907137560 93633921950 187267843900 211612663607 374535687800 423225327214 846450654428 1058063318035 1692901308856 2116126636070 4232253272140 5290316590175 8464506544280 10580633180350 21161266360700 42322532721400