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40300354241536 = 21028327012
BaseRepresentation
bin10010010100111001010000…
…10011001000010000000000
312021200200020222102101002111
421022130220103020100000
520240240111141212121
6221413421022025104
711326414230010264
oct1112345023102000
9167620228371074
1040300354241536
1111928314383274
12462a58b118194
1319643cb90603c
149d47946b00a4
1549d4885512e1
hex24a7284c8400

40300354241536 has 99 divisors (see below), whose sum is σ = 80962523175693. Its totient is φ = 20050331750400.

The previous prime is 40300354241507. The next prime is 40300354241671. The reversal of 40300354241536 is 63514245300304.

The square root of 40300354241536 is 6348256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34756401447936 + 5543952793600 = 5895456^2 + 2354560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57489805986 + ... + 57489806686.

Almost surely, 240300354241536 is an apocalyptic number.

40300354241536 is the 6348256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40300354241536

40300354241536 is an abundant number, since it is smaller than the sum of its proper divisors (40662168934157).

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

40300354241536 is an frugal number, since it uses more digits than its factorization.

40300354241536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 40300354241536 in words is "forty trillion, three hundred billion, three hundred fifty-four million, two hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 283 512 566 701 1024 1132 1402 2264 2804 4528 5608 9056 11216 18112 22432 36224 44864 72448 80089 89728 144896 160178 179456 198383 289792 320356 358912 396766 491401 640712 717824 793532 982802 1281424 1587064 1965604 2562848 3174128 3931208 5125696 6348256 7862416 10251392 12696512 15724832 20502784 25393024 31449664 41005568 50786048 56142389 62899328 82011136 101572096 112284778 125798656 139066483 203144192 224569556 251597312 278132966 449139112 503194624 556265932 898278224 1112531864 1796556448 2225063728 3593112896 4450127456 7186225792 8900254912 14372451584 17800509824 28744903168 35601019648 39355814689 57489806336 71202039296 78711629378 142404078592 157423258756 314846517512 629693035024 1259386070048 2518772140096 5037544280192 10075088560384 20150177120768 40300354241536