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40378935147072 = 2633376217100379
BaseRepresentation
bin10010010111001011101000…
…00101011111101001000000
312021222012002102020222110020
421023211310011133221000
520243032024344201242
6221513454323333440
711335165440461244
oct1113456405375100
9167865072228406
1040378935147072
1111958679239705
12464185b821280
13196b942a35192
149d84caba6424
154a05371576ec
hex24b97415fa40

40378935147072 has 112 divisors (see below), whose sum is σ = 107171256279360. Its totient is φ = 13417413230592.

The previous prime is 40378935147013. The next prime is 40378935147101. The reversal of 40378935147072 is 27074153987304.

It is a super-2 number, since 2×403789351470722 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40378935146997 and 40378935147015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402214579 + ... + 402314957.

It is an arithmetic number, because the mean of its divisors is an integer number (956886216780).

Almost surely, 240378935147072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40378935147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53585628139680).

40378935147072 is an abundant number, since it is smaller than the sum of its proper divisors (66792321132288).

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

40378935147072 is a wasteful number, since it uses less digits than its factorization.

40378935147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106948 (or 106938 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 40378935147072 in words is "forty trillion, three hundred seventy-eight billion, nine hundred thirty-five million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 337 674 1011 1348 2022 2696 4044 5392 6217 8088 10784 12434 16176 18651 21568 24868 32352 37302 49736 64704 74604 99472 100379 149208 198944 200758 298416 301137 397888 401516 596832 602274 803032 1193664 1204548 1606064 2095129 2409096 3212128 4190258 4818192 6285387 6424256 8380516 9636384 12570774 16761032 19272768 25141548 33522064 33827723 50283096 67044128 67655446 100566192 101483169 134088256 135310892 201132384 202966338 270621784 402264768 405932676 541243568 624056243 811865352 1082487136 1248112486 1623730704 1872168729 2164974272 2496224972 3247461408 3744337458 4992449944 6494922816 7488674916 9984899888 14977349832 19969799776 29954699664 39939599552 59909399328 119818798656 210306953891 420613907782 630920861673 841227815564 1261841723346 1682455631128 2523683446692 3364911262256 5047366893384 6729822524512 10094733786768 13459645049024 20189467573536 40378935147072